Show commands:
SageMath
E = EllipticCurve("bj1")
E.isogeny_class()
Elliptic curves in class 224400.bj
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 224400.bj1 | 224400ew1 | \([0, -1, 0, -40980208, 126471358912]\) | \(-190276961027565625/62594753566752\) | \(-2503790142670080000000000\) | \([]\) | \(31449600\) | \(3.3940\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 224400.bj1 has rank \(0\).
Complex multiplication
The elliptic curves in class 224400.bj do not have complex multiplication.Modular form 224400.2.a.bj
sage: E.q_eigenform(10)