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SageMath
E = EllipticCurve("cq1")
E.isogeny_class()
Elliptic curves in class 297825.cq
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
297825.cq1 | 297825cq1 | \([0, 1, 1, 285792, 2961119]\) | \(512000/297\) | \(-1497472597505671875\) | \([]\) | \(8536320\) | \(2.1770\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 297825.cq1 has rank \(1\).
Complex multiplication
The elliptic curves in class 297825.cq do not have complex multiplication.Modular form 297825.2.a.cq
sage: E.q_eigenform(10)