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SageMath
E = EllipticCurve("cq1")
E.isogeny_class()
Elliptic curves in class 283024.cq
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
283024.cq1 | 283024cq1 | \([0, -1, 0, -3369, 178949]\) | \(-7168/19\) | \(-11212727094016\) | \([]\) | \(414720\) | \(1.1915\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 283024.cq1 has rank \(1\).
Complex multiplication
The elliptic curves in class 283024.cq do not have complex multiplication.Modular form 283024.2.a.cq
sage: E.q_eigenform(10)