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SageMath
E = EllipticCurve("ch1")
E.isogeny_class()
Elliptic curves in class 111600ch
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
111600.z1 | 111600ch1 | \([0, 0, 0, 645, 650]\) | \(159014/93\) | \(-17356032000\) | \([]\) | \(59392\) | \(0.65418\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 111600ch1 has rank \(2\).
Complex multiplication
The elliptic curves in class 111600ch do not have complex multiplication.Modular form 111600.2.a.ch
sage: E.q_eigenform(10)