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SageMath
E = EllipticCurve("d1")
E.isogeny_class()
Elliptic curves in class 7935d
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
7935.g1 | 7935d1 | \([0, -1, 1, -386875, 92750133]\) | \(-43258336804864/646875\) | \(-95760715696875\) | \([]\) | \(42240\) | \(1.8196\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 7935d1 has rank \(1\).
Complex multiplication
The elliptic curves in class 7935d do not have complex multiplication.Modular form 7935.2.a.d
sage: E.q_eigenform(10)