Show commands:
SageMath
E = EllipticCurve("ba1")
E.isogeny_class()
Elliptic curves in class 190608.ba
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 190608.ba1 | 190608de1 | \([0, -1, 0, -134829288, -602553913200]\) | \(-1015621959753145219250/10356281643411\) | \(-2764064727144376178688\) | \([]\) | \(21530880\) | \(3.2725\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 190608.ba1 has rank \(0\).
Complex multiplication
The elliptic curves in class 190608.ba do not have complex multiplication.Modular form 190608.2.a.ba
sage: E.q_eigenform(10)