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SageMath
E = EllipticCurve("cq1")
E.isogeny_class()
Elliptic curves in class 10944cq
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
10944.i1 | 10944cq1 | \([0, 0, 0, -2064, 41056]\) | \(-81415168/13851\) | \(-165435457536\) | \([]\) | \(12288\) | \(0.87920\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 10944cq1 has rank \(0\).
Complex multiplication
The elliptic curves in class 10944cq do not have complex multiplication.Modular form 10944.2.a.cq
sage: E.q_eigenform(10)