Properties

Label 26026.j
Number of curves $1$
Conductor $26026$
CM no
Rank $1$

Related objects

Downloads

Learn more

Show commands: SageMath
E = EllipticCurve("j1")
 
E.isogeny_class()
 

Elliptic curves in class 26026.j

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
26026.j1 26026p1 \([1, -1, 1, -17946, 936537]\) \(-22378481056737/189314048\) \(-5406998524928\) \([]\) \(134400\) \(1.2689\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 26026.j1 has rank \(1\).

Complex multiplication

The elliptic curves in class 26026.j do not have complex multiplication.

Modular form 26026.2.a.j

sage: E.q_eigenform(10)
 
\(q + q^{2} - 3 q^{3} + q^{4} - 2 q^{5} - 3 q^{6} + q^{7} + q^{8} + 6 q^{9} - 2 q^{10} - q^{11} - 3 q^{12} + q^{14} + 6 q^{15} + q^{16} + q^{17} + 6 q^{18} + 6 q^{19} + O(q^{20})\) Copy content Toggle raw display