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SageMath
E = EllipticCurve("cq1")
E.isogeny_class()
Elliptic curves in class 16830.cq
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
16830.cq1 | 16830bn1 | \([1, -1, 1, -17, 129]\) | \(-19034163/239360\) | \(-6462720\) | \([]\) | \(3584\) | \(-0.011459\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 16830.cq1 has rank \(1\).
Complex multiplication
The elliptic curves in class 16830.cq do not have complex multiplication.Modular form 16830.2.a.cq
sage: E.q_eigenform(10)