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SageMath
E = EllipticCurve("f1")
E.isogeny_class()
Elliptic curves in class 54418.f
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
54418.f1 | 54418e1 | \([1, -1, 1, 2781539, 4194361253]\) | \(2917645350022143/11008380780544\) | \(-8979874391155699892224\) | \([]\) | \(3983616\) | \(2.8953\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 54418.f1 has rank \(0\).
Complex multiplication
The elliptic curves in class 54418.f do not have complex multiplication.Modular form 54418.2.a.f
sage: E.q_eigenform(10)