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SageMath
E = EllipticCurve("b1")
E.isogeny_class()
Elliptic curves in class 230384.b
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
230384.b1 | 230384b1 | \([0, 0, 0, -844238659, 9441618300994]\) | \(-75791061343724631993/95454146396\) | \(-83810074657819618820096\) | \([]\) | \(97574400\) | \(3.6773\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 230384.b1 has rank \(1\).
Complex multiplication
The elliptic curves in class 230384.b do not have complex multiplication.Modular form 230384.2.a.b
sage: E.q_eigenform(10)