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SageMath
E = EllipticCurve("f1")
E.isogeny_class()
Elliptic curves in class 463680.f
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
463680.f1 | 463680f1 | \([0, 0, 0, -468, -7992]\) | \(-15185664/28175\) | \(-21032524800\) | \([]\) | \(387072\) | \(0.67074\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 463680.f1 has rank \(1\).
Complex multiplication
The elliptic curves in class 463680.f do not have complex multiplication.Modular form 463680.2.a.f
sage: E.q_eigenform(10)