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SageMath
E = EllipticCurve("cn1")
E.isogeny_class()
Elliptic curves in class 88935cn
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
88935.f1 | 88935cn1 | \([0, 1, 1, -590, 9356]\) | \(-3837374464/4428675\) | \(-26257614075\) | \([]\) | \(95040\) | \(0.69346\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 88935cn1 has rank \(1\).
Complex multiplication
The elliptic curves in class 88935cn do not have complex multiplication.Modular form 88935.2.a.cn
sage: E.q_eigenform(10)