Show commands:
SageMath
E = EllipticCurve("ba1")
E.isogeny_class()
Elliptic curves in class 148120.ba
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 148120.ba1 | 148120bg1 | \([0, 0, 0, -606947, -243670786]\) | \(-22823928346121298/10467529296875\) | \(-11340437500000000000\) | \([]\) | \(2125440\) | \(2.3627\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 148120.ba1 has rank \(0\).
Complex multiplication
The elliptic curves in class 148120.ba do not have complex multiplication.Modular form 148120.2.a.ba
sage: E.q_eigenform(10)