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SageMath
E = EllipticCurve("cq1")
E.isogeny_class()
Elliptic curves in class 266805.cq
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
266805.cq1 | 266805cq1 | \([0, 0, 1, 29063958, -31465053293]\) | \(17869652393984/13156171875\) | \(-1998947637529599649921875\) | \([]\) | \(36126720\) | \(3.3512\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 266805.cq1 has rank \(1\).
Complex multiplication
The elliptic curves in class 266805.cq do not have complex multiplication.Modular form 266805.2.a.cq
sage: E.q_eigenform(10)