Show commands:
SageMath
E = EllipticCurve("j1")
E.isogeny_class()
Elliptic curves in class 329742.j
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
329742.j1 | 329742j1 | \([1, -1, 1, -2034800, -1116690477]\) | \(34508408842474480159875/919174144\) | \(24817701888\) | \([]\) | \(3223680\) | \(1.9592\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 329742.j1 has rank \(0\).
Complex multiplication
The elliptic curves in class 329742.j do not have complex multiplication.Modular form 329742.2.a.j
sage: E.q_eigenform(10)