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SageMath
E = EllipticCurve("ca1")
E.isogeny_class()
Elliptic curves in class 58800.ca
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
58800.ca1 | 58800gl1 | \([0, -1, 0, -157208, 75972912]\) | \(-46585/243\) | \(-2241354628800000000\) | \([]\) | \(806400\) | \(2.2054\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 58800.ca1 has rank \(1\).
Complex multiplication
The elliptic curves in class 58800.ca do not have complex multiplication.Modular form 58800.2.a.ca
sage: E.q_eigenform(10)