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SageMath
E = EllipticCurve("b1")
E.isogeny_class()
Elliptic curves in class 25230b
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
25230.b1 | 25230b1 | \([1, 1, 0, -51318, 1102572]\) | \(29878729/16200\) | \(8103991889968200\) | \([]\) | \(167040\) | \(1.7435\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 25230b1 has rank \(0\).
Complex multiplication
The elliptic curves in class 25230b do not have complex multiplication.Modular form 25230.2.a.b
sage: E.q_eigenform(10)