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SageMath
E = EllipticCurve("cq1")
E.isogeny_class()
Elliptic curves in class 119952.cq
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
119952.cq1 | 119952v1 | \([0, 0, 0, -41948508, -104573822164]\) | \(-371806976516936704/89266779\) | \(-1959952734462530304\) | \([]\) | \(4128768\) | \(2.8879\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 119952.cq1 has rank \(1\).
Complex multiplication
The elliptic curves in class 119952.cq do not have complex multiplication.Modular form 119952.2.a.cq
sage: E.q_eigenform(10)