Properties

Label 26702g
Number of curves $1$
Conductor $26702$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("g1")
 
E.isogeny_class()
 

Elliptic curves in class 26702g

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
26702.i1 26702g1 \([1, 1, 1, -595, 5013]\) \(4826809/316\) \(1525271644\) \([]\) \(14112\) \(0.51191\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 26702g1 has rank \(0\).

Complex multiplication

The elliptic curves in class 26702g do not have complex multiplication.

Modular form 26702.2.a.g

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