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SageMath
E = EllipticCurve("b1")
E.isogeny_class()
Elliptic curves in class 75810.b
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
75810.b1 | 75810b1 | \([1, 1, 0, -115888, 31312768]\) | \(-533411731/1008000\) | \(-325269199361232000\) | \([]\) | \(1276800\) | \(2.0501\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 75810.b1 has rank \(1\).
Complex multiplication
The elliptic curves in class 75810.b do not have complex multiplication.Modular form 75810.2.a.b
sage: E.q_eigenform(10)