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SageMath
E = EllipticCurve("cq1")
E.isogeny_class()
Elliptic curves in class 67760.cq
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
67760.cq1 | 67760u1 | \([0, 0, 0, -49852, 4413596]\) | \(-30211716096/1071875\) | \(-486116338400000\) | \([]\) | \(571200\) | \(1.5904\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 67760.cq1 has rank \(0\).
Complex multiplication
The elliptic curves in class 67760.cq do not have complex multiplication.Modular form 67760.2.a.cq
sage: E.q_eigenform(10)