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SageMath
E = EllipticCurve("f1")
E.isogeny_class()
Elliptic curves in class 118354.f
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
118354.f1 | 118354h1 | \([1, -1, 0, -1245110, -557465996]\) | \(-1453888089/73984\) | \(-10863103095718084864\) | \([]\) | \(2265600\) | \(2.4131\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 118354.f1 has rank \(1\).
Complex multiplication
The elliptic curves in class 118354.f do not have complex multiplication.Modular form 118354.2.a.f
sage: E.q_eigenform(10)