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SageMath
E = EllipticCurve("cn1")
E.isogeny_class()
Elliptic curves in class 156702cn
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
156702.e1 | 156702cn1 | \([1, 1, 0, -1118058, 455838804]\) | \(-3830319127944847/12385930752\) | \(-499816981895422464\) | \([]\) | \(2903040\) | \(2.2622\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 156702cn1 has rank \(0\).
Complex multiplication
The elliptic curves in class 156702cn do not have complex multiplication.Modular form 156702.2.a.cn
sage: E.q_eigenform(10)