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SageMath
E = EllipticCurve("x1")
E.isogeny_class()
Elliptic curves in class 439569.x
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
439569.x1 | 439569x1 | \([1, -1, 1, -2646572, 728909952]\) | \(83521/39\) | \(957290215976954948439\) | \([]\) | \(13160448\) | \(2.7203\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 439569.x1 has rank \(1\).
Complex multiplication
The elliptic curves in class 439569.x do not have complex multiplication.Modular form 439569.2.a.x
sage: E.q_eigenform(10)