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SageMath
E = EllipticCurve("b1")
E.isogeny_class()
Elliptic curves in class 1425.b
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
1425.b1 | 1425e1 | \([1, 1, 1, 462, 2856]\) | \(17446602575/15000633\) | \(-9375395625\) | \([]\) | \(1008\) | \(0.60102\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 1425.b1 has rank \(0\).
Complex multiplication
The elliptic curves in class 1425.b do not have complex multiplication.Modular form 1425.2.a.b
sage: E.q_eigenform(10)