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SageMath
E = EllipticCurve("ca1")
E.isogeny_class()
Elliptic curves in class 52800ca
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
52800.p1 | 52800ca1 | \([0, -1, 0, 1792, -23838]\) | \(25442240/24057\) | \(-601425000000\) | \([]\) | \(53760\) | \(0.94737\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 52800ca1 has rank \(1\).
Complex multiplication
The elliptic curves in class 52800ca do not have complex multiplication.Modular form 52800.2.a.ca
sage: E.q_eigenform(10)