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SageMath
E = EllipticCurve("f1")
E.isogeny_class()
Elliptic curves in class 930.f
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
930.f1 | 930f1 | \([1, 0, 1, -10400749, 13377941672]\) | \(-124427822010671478697670089/5317924709672681472000\) | \(-5317924709672681472000\) | \([]\) | \(91080\) | \(2.9349\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 930.f1 has rank \(0\).
Complex multiplication
The elliptic curves in class 930.f do not have complex multiplication.Modular form 930.2.a.f
sage: E.q_eigenform(10)