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SageMath
E = EllipticCurve("b1")
E.isogeny_class()
Elliptic curves in class 1155.b
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
1155.b1 | 1155i1 | \([0, 1, 1, -126, 506]\) | \(-222985990144/841995\) | \(-841995\) | \([]\) | \(336\) | \(-0.0036314\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 1155.b1 has rank \(1\).
Complex multiplication
The elliptic curves in class 1155.b do not have complex multiplication.Modular form 1155.2.a.b
sage: E.q_eigenform(10)