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SageMath
E = EllipticCurve("r1")
E.isogeny_class()
Elliptic curves in class 439569.r
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
439569.r1 | 439569r1 | \([1, -1, 1, 2188687, 6560329988]\) | \(2307174311/38336139\) | \(-19266500445995911222179\) | \([]\) | \(24883200\) | \(2.9566\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 439569.r1 has rank \(0\).
Complex multiplication
The elliptic curves in class 439569.r do not have complex multiplication.Modular form 439569.2.a.r
sage: E.q_eigenform(10)