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SageMath
E = EllipticCurve("b1")
E.isogeny_class()
Elliptic curves in class 1150.b
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
1150.b1 | 1150a1 | \([1, -1, 0, -125117, 17049541]\) | \(22180666338225/24117248\) | \(235520000000000\) | \([]\) | \(7200\) | \(1.6732\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 1150.b1 has rank \(0\).
Complex multiplication
The elliptic curves in class 1150.b do not have complex multiplication.Modular form 1150.2.a.b
sage: E.q_eigenform(10)