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SageMath
E = EllipticCurve("g1")
E.isogeny_class()
Elliptic curves in class 439569.g
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
439569.g1 | 439569g1 | \([0, 0, 1, 2490891, -10498067694]\) | \(692224/19683\) | \(-48599580709795914467019\) | \([]\) | \(47471616\) | \(3.0332\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 439569.g1 has rank \(0\).
Complex multiplication
The elliptic curves in class 439569.g do not have complex multiplication.Modular form 439569.2.a.g
sage: E.q_eigenform(10)