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SageMath
E = EllipticCurve("ca1")
E.isogeny_class()
Elliptic curves in class 422331ca
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
422331.ca1 | 422331ca1 | \([0, 1, 1, -2760, 98375]\) | \(-692224/867\) | \(-2913270068163\) | \([]\) | \(1726560\) | \(1.0851\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 422331ca1 has rank \(1\).
Complex multiplication
The elliptic curves in class 422331ca do not have complex multiplication.Modular form 422331.2.a.ca
sage: E.q_eigenform(10)