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SageMath
E = EllipticCurve("b1")
E.isogeny_class()
Elliptic curves in class 388311.b
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
388311.b1 | 388311b1 | \([0, 1, 1, 10264, -199786]\) | \(71131770023936/51776124939\) | \(-87035666022459\) | \([]\) | \(1236480\) | \(1.3631\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 388311.b1 has rank \(2\).
Complex multiplication
The elliptic curves in class 388311.b do not have complex multiplication.Modular form 388311.2.a.b
sage: E.q_eigenform(10)