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SageMath
E = EllipticCurve("cf1")
E.isogeny_class()
Elliptic curves in class 402930cf
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
402930.cf1 | 402930cf1 | \([1, -1, 0, 1611, -97025]\) | \(357911/3330\) | \(-4300588336770\) | \([]\) | \(915200\) | \(1.1054\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 402930cf1 has rank \(0\).
Complex multiplication
The elliptic curves in class 402930cf do not have complex multiplication.Modular form 402930.2.a.cf
sage: E.q_eigenform(10)