Properties

Label 23826b
Number of curves $1$
Conductor $23826$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("b1")
 
E.isogeny_class()
 

Elliptic curves in class 23826b

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
23826.e1 23826b1 \([1, 1, 0, -218773, 39317221]\) \(-3588604291/2376\) \(-766705969922904\) \([]\) \(136800\) \(1.7952\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 23826b1 has rank \(1\).

Complex multiplication

The elliptic curves in class 23826b do not have complex multiplication.

Modular form 23826.2.a.b

sage: E.q_eigenform(10)
 
\(q - q^{2} - q^{3} + q^{4} - q^{5} + q^{6} + 2 q^{7} - q^{8} + q^{9} + q^{10} - q^{11} - q^{12} - 2 q^{13} - 2 q^{14} + q^{15} + q^{16} - 3 q^{17} - q^{18} + O(q^{20})\) Copy content Toggle raw display