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SageMath
E = EllipticCurve("b1")
E.isogeny_class()
Elliptic curves in class 25071.b
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
25071.b1 | 25071b1 | \([0, 1, 1, -6095, 179840]\) | \(25044715018878976/204023460717\) | \(204023460717\) | \([]\) | \(44544\) | \(0.99689\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 25071.b1 has rank \(2\).
Complex multiplication
The elliptic curves in class 25071.b do not have complex multiplication.Modular form 25071.2.a.b
sage: E.q_eigenform(10)