Show commands:
SageMath
E = EllipticCurve("bj1")
E.isogeny_class()
Elliptic curves in class 144900bj
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
144900.u1 | 144900bj1 | \([0, 0, 0, 375, 21625]\) | \(32000/1127\) | \(-205395750000\) | \([]\) | \(103680\) | \(0.85061\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 144900bj1 has rank \(1\).
Complex multiplication
The elliptic curves in class 144900bj do not have complex multiplication.Modular form 144900.2.a.bj
sage: E.q_eigenform(10)