Show commands:
SageMath
E = EllipticCurve("b1")
E.isogeny_class()
Elliptic curves in class 52983.b
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
52983.b1 | 52983k1 | \([1, -1, 1, -242366, 47691546]\) | \(-4317433/189\) | \(-68924451024179541\) | \([]\) | \(417600\) | \(1.9963\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 52983.b1 has rank \(0\).
Complex multiplication
The elliptic curves in class 52983.b do not have complex multiplication.Modular form 52983.2.a.b
sage: E.q_eigenform(10)