Show commands:
SageMath
E = EllipticCurve("y1")
E.isogeny_class()
Elliptic curves in class 392784.y
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
392784.y1 | 392784y1 | \([0, -1, 0, -272785, 32750509]\) | \(178957834281554944/66829503442941\) | \(838309291188251904\) | \([]\) | \(4959360\) | \(2.1390\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 392784.y1 has rank \(0\).
Complex multiplication
The elliptic curves in class 392784.y do not have complex multiplication.Modular form 392784.2.a.y
sage: E.q_eigenform(10)