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SageMath
E = EllipticCurve("cq1")
E.isogeny_class()
Elliptic curves in class 9408.cq
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
9408.cq1 | 9408ck1 | \([0, 1, 0, 7775, 598751]\) | \(68782/243\) | \(-183611771191296\) | \([]\) | \(26880\) | \(1.4199\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 9408.cq1 has rank \(1\).
Complex multiplication
The elliptic curves in class 9408.cq do not have complex multiplication.Modular form 9408.2.a.cq
sage: E.q_eigenform(10)