Show commands:
SageMath
E = EllipticCurve("ba1")
E.isogeny_class()
Elliptic curves in class 317900.ba
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
317900.ba1 | 317900ba1 | \([0, 1, 0, 9492, 943988]\) | \(81807536/378125\) | \(-437112500000000\) | \([]\) | \(1036800\) | \(1.4917\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 317900.ba1 has rank \(2\).
Complex multiplication
The elliptic curves in class 317900.ba do not have complex multiplication.Modular form 317900.2.a.ba
sage: E.q_eigenform(10)