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SageMath
E = EllipticCurve("ch1")
E.isogeny_class()
Elliptic curves in class 58800ch
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
58800.er1 | 58800ch1 | \([0, -1, 0, 292, -60213]\) | \(1280/729\) | \(-1562793750000\) | \([]\) | \(92160\) | \(1.0189\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 58800ch1 has rank \(1\).
Complex multiplication
The elliptic curves in class 58800ch do not have complex multiplication.Modular form 58800.2.a.ch
sage: E.q_eigenform(10)