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SageMath
E = EllipticCurve("f1")
E.isogeny_class()
Elliptic curves in class 46090f
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
46090.r1 | 46090f1 | \([1, 0, 0, -141, -655]\) | \(310151254609/737440\) | \(737440\) | \([]\) | \(14160\) | \(0.0054900\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 46090f1 has rank \(0\).
Complex multiplication
The elliptic curves in class 46090f do not have complex multiplication.Modular form 46090.2.a.f
sage: E.q_eigenform(10)