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SageMath
E = EllipticCurve("cn1")
E.isogeny_class()
Elliptic curves in class 223146.cn
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
223146.cn1 | 223146eg1 | \([1, -1, 0, -558315, -752421447]\) | \(-224412099736609/2722801160772\) | \(-233524093813711805412\) | \([]\) | \(13160448\) | \(2.5901\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 223146.cn1 has rank \(0\).
Complex multiplication
The elliptic curves in class 223146.cn do not have complex multiplication.Modular form 223146.2.a.cn
sage: E.q_eigenform(10)