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SageMath
E = EllipticCurve("b1")
E.isogeny_class()
Elliptic curves in class 40425.b
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
40425.b1 | 40425g1 | \([0, -1, 1, -20008, -929832]\) | \(9834496/1485\) | \(133761398203125\) | \([]\) | \(193536\) | \(1.4346\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 40425.b1 has rank \(1\).
Complex multiplication
The elliptic curves in class 40425.b do not have complex multiplication.Modular form 40425.2.a.b
sage: E.q_eigenform(10)