Show commands:
SageMath
E = EllipticCurve("bj1")
E.isogeny_class()
Elliptic curves in class 5550.bj
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
5550.bj1 | 5550bp1 | \([1, 0, 0, -6513, -196983]\) | \(78218787505/2589408\) | \(1011487500000\) | \([]\) | \(8400\) | \(1.0766\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 5550.bj1 has rank \(1\).
Complex multiplication
The elliptic curves in class 5550.bj do not have complex multiplication.Modular form 5550.2.a.bj
sage: E.q_eigenform(10)