Show commands:
SageMath
E = EllipticCurve("e1")
E.isogeny_class()
Elliptic curves in class 62192e
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
62192.n1 | 62192e1 | \([0, 1, 0, -732, -8137]\) | \(-562432/23\) | \(-1776265712\) | \([]\) | \(28224\) | \(0.54236\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 62192e1 has rank \(0\).
Complex multiplication
The elliptic curves in class 62192e do not have complex multiplication.Modular form 62192.2.a.e
sage: E.q_eigenform(10)