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SageMath
E = EllipticCurve("b1")
E.isogeny_class()
Elliptic curves in class 68400.b
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
68400.b1 | 68400ew1 | \([0, 0, 0, -171675, 29234250]\) | \(-11993263569/972800\) | \(-45386956800000000\) | \([]\) | \(709632\) | \(1.9424\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 68400.b1 has rank \(1\).
Complex multiplication
The elliptic curves in class 68400.b do not have complex multiplication.Modular form 68400.2.a.b
sage: E.q_eigenform(10)