Show commands:
SageMath
E = EllipticCurve("bj1")
E.isogeny_class()
Elliptic curves in class 309168bj
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
309168.bj1 | 309168bj1 | \([0, 0, 0, -201072, 34703692]\) | \(-4817381180637184/2183499\) | \(-407493317376\) | \([]\) | \(1032192\) | \(1.5674\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 309168bj1 has rank \(1\).
Complex multiplication
The elliptic curves in class 309168bj do not have complex multiplication.Modular form 309168.2.a.bj
sage: E.q_eigenform(10)