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SageMath
E = EllipticCurve("cn1")
E.isogeny_class()
Elliptic curves in class 38808.cn
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
38808.cn1 | 38808by1 | \([0, 0, 0, -654591, -203862393]\) | \(-610325920583424/55240493\) | \(-2807563144733424\) | \([]\) | \(368640\) | \(2.0037\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 38808.cn1 has rank \(0\).
Complex multiplication
The elliptic curves in class 38808.cn do not have complex multiplication.Modular form 38808.2.a.cn
sage: E.q_eigenform(10)