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SageMath
E = EllipticCurve("f1")
E.isogeny_class()
Elliptic curves in class 49098.f
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
49098.f1 | 49098c1 | \([1, 1, 0, -159912, -24715368]\) | \(-3843995587427449/6390046584\) | \(-751782590561016\) | \([]\) | \(381024\) | \(1.7504\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 49098.f1 has rank \(0\).
Complex multiplication
The elliptic curves in class 49098.f do not have complex multiplication.Modular form 49098.2.a.f
sage: E.q_eigenform(10)