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SageMath
E = EllipticCurve("ch1")
E.isogeny_class()
Elliptic curves in class 286110ch
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
286110.ch1 | 286110ch1 | \([1, -1, 0, -2657409, -2966187187]\) | \(-4368317413923/5475734000\) | \(-2601519967414465218000\) | \([]\) | \(16588800\) | \(2.8026\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 286110ch1 has rank \(1\).
Complex multiplication
The elliptic curves in class 286110ch do not have complex multiplication.Modular form 286110.2.a.ch
sage: E.q_eigenform(10)