Show commands:
SageMath
E = EllipticCurve("bca1")
E.isogeny_class()
Elliptic curves in class 235200.bca
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 235200.bca1 | 235200bca1 | \([0, 1, 0, 155167, 95342463]\) | \(16468459/165888\) | \(-4161798144000000000\) | \([]\) | \(4055040\) | \(2.2538\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 235200.bca1 has rank \(0\).
Complex multiplication
The elliptic curves in class 235200.bca do not have complex multiplication.Modular form 235200.2.a.bca
sage: E.q_eigenform(10)