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SageMath
E = EllipticCurve("b1")
E.isogeny_class()
Elliptic curves in class 30815b
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
30815.b1 | 30815b1 | \([0, 0, 1, 328, -11580]\) | \(3902520950784/60185546875\) | \(-60185546875\) | \([]\) | \(17120\) | \(0.74901\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 30815b1 has rank \(2\).
Complex multiplication
The elliptic curves in class 30815b do not have complex multiplication.Modular form 30815.2.a.b
sage: E.q_eigenform(10)