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SageMath
E = EllipticCurve("f1")
E.isogeny_class()
Elliptic curves in class 37180.f
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
37180.f1 | 37180c1 | \([0, -1, 0, -5126, 148745]\) | \(-1141504/55\) | \(-717843034480\) | \([]\) | \(59904\) | \(1.0371\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 37180.f1 has rank \(1\).
Complex multiplication
The elliptic curves in class 37180.f do not have complex multiplication.Modular form 37180.2.a.f
sage: E.q_eigenform(10)