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SageMath
E = EllipticCurve("cn1")
E.isogeny_class()
Elliptic curves in class 79350.cn
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
79350.cn1 | 79350ca1 | \([1, 1, 1, -205033, -35819689]\) | \(-72077458139346985/181398528\) | \(-2398995532800\) | \([]\) | \(443520\) | \(1.6137\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 79350.cn1 has rank \(1\).
Complex multiplication
The elliptic curves in class 79350.cn do not have complex multiplication.Modular form 79350.2.a.cn
sage: E.q_eigenform(10)