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SageMath
E = EllipticCurve("cq1")
E.isogeny_class()
Elliptic curves in class 439569.cq
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
439569.cq1 | 439569cq1 | \([0, 0, 1, -11271, -750461]\) | \(-53248/51\) | \(-151662404556819\) | \([]\) | \(2101248\) | \(1.4173\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 439569.cq1 has rank \(0\).
Complex multiplication
The elliptic curves in class 439569.cq do not have complex multiplication.Modular form 439569.2.a.cq
sage: E.q_eigenform(10)