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SageMath
E = EllipticCurve("b1")
E.isogeny_class()
Elliptic curves in class 427119.b
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
427119.b1 | 427119b1 | \([0, 1, 1, -1139600, -303925078]\) | \(7573504/2541\) | \(54914776558055276709\) | \([]\) | \(18840192\) | \(2.4902\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 427119.b1 has rank \(0\).
Complex multiplication
The elliptic curves in class 427119.b do not have complex multiplication.Modular form 427119.2.a.b
sage: E.q_eigenform(10)