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SageMath
E = EllipticCurve("f1")
E.isogeny_class()
Elliptic curves in class 2475f
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
2475.b1 | 2475f1 | \([1, -1, 1, -5, 22]\) | \(-675/11\) | \(-185625\) | \([]\) | \(192\) | \(-0.30778\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 2475f1 has rank \(1\).
Complex multiplication
The elliptic curves in class 2475f do not have complex multiplication.Modular form 2475.2.a.f
sage: E.q_eigenform(10)