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SageMath
E = EllipticCurve("bc1")
E.isogeny_class()
Elliptic curves in class 439569.bc
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
439569.bc1 | 439569bc1 | \([1, -1, 1, -539, -10370]\) | \(-459\) | \(-37663590627\) | \([]\) | \(336960\) | \(0.71812\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 439569.bc1 has rank \(1\).
Complex multiplication
The elliptic curves in class 439569.bc do not have complex multiplication.Modular form 439569.2.a.bc
sage: E.q_eigenform(10)