Properties

Label 62192e
Number of curves $1$
Conductor $62192$
CM no
Rank $0$

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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)
 
\(q + q^{3} + 2 q^{5} - 4 q^{7} - 2 q^{9} - 2 q^{11} + 2 q^{15} - 4 q^{17} - 6 q^{19} + O(q^{20})\) Copy content Toggle raw display