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SageMath
E = EllipticCurve("b1")
E.isogeny_class()
Elliptic curves in class 309442.b
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
309442.b1 | 309442b1 | \([1, 1, 0, 89, 1205]\) | \(79711943/659456\) | \(-633737216\) | \([]\) | \(129600\) | \(0.37032\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 309442.b1 has rank \(1\).
Complex multiplication
The elliptic curves in class 309442.b do not have complex multiplication.Modular form 309442.2.a.b
sage: E.q_eigenform(10)