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SageMath
E = EllipticCurve("ch1")
E.isogeny_class()
Elliptic curves in class 59290.ch
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
59290.ch1 | 59290bo1 | \([1, -1, 0, 236, 1238]\) | \(9261/10\) | \(-1565908190\) | \([]\) | \(56160\) | \(0.45092\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 59290.ch1 has rank \(1\).
Complex multiplication
The elliptic curves in class 59290.ch do not have complex multiplication.Modular form 59290.2.a.ch
sage: E.q_eigenform(10)