Show commands:
SageMath
E = EllipticCurve("b1")
E.isogeny_class()
Elliptic curves in class 5800.b
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
5800.b1 | 5800b1 | \([0, 1, 0, -4728, 123568]\) | \(-228337902530/29\) | \(-1484800\) | \([]\) | \(5088\) | \(0.60110\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 5800.b1 has rank \(1\).
Complex multiplication
The elliptic curves in class 5800.b do not have complex multiplication.Modular form 5800.2.a.b
sage: E.q_eigenform(10)