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SageMath
E = EllipticCurve("m1")
E.isogeny_class()
Elliptic curves in class 439569.m
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
439569.m1 | 439569m1 | \([1, -1, 1, -155681, -51569228]\) | \(-459\) | \(-909107517546965763\) | \([]\) | \(5728320\) | \(2.1347\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 439569.m1 has rank \(0\).
Complex multiplication
The elliptic curves in class 439569.m do not have complex multiplication.Modular form 439569.2.a.m
sage: E.q_eigenform(10)