Coefficients of Weierstrass models from Jacobian elliptic fibrations on lattice-polarized K3 surfaces generate the graded rings of orthogonal modular forms for Picard numbers 10-17.
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On the Vinberg Family of K3 Surfaces
Coefficients of Weierstrass models from Jacobian elliptic fibrations on lattice-polarized K3 surfaces generate the graded rings of orthogonal modular forms for Picard numbers 10-17.