Show commands:
SageMath
E = EllipticCurve("j1")
E.isogeny_class()
Elliptic curves in class 193200.j
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
193200.j1 | 193200gq1 | \([0, -1, 0, -483, 6762]\) | \(-1248716800/1159683\) | \(-11596830000\) | \([]\) | \(124800\) | \(0.62772\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 193200.j1 has rank \(0\).
Complex multiplication
The elliptic curves in class 193200.j do not have complex multiplication.Modular form 193200.2.a.j
sage: E.q_eigenform(10)