Properties

Label 13923i
Number of curves $1$
Conductor $13923$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("i1")
 
E.isogeny_class()
 

Elliptic curves in class 13923i

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
13923.b1 13923i1 \([0, 0, 1, -26211, 1633338]\) \(-2731787761881088/19171971\) \(-13976366859\) \([]\) \(33024\) \(1.1261\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 13923i1 has rank \(1\).

Complex multiplication

The elliptic curves in class 13923i do not have complex multiplication.

Modular form 13923.2.a.i

sage: E.q_eigenform(10)
 
\(q - 2 q^{2} + 2 q^{4} + 3 q^{5} - q^{7} - 6 q^{10} - 2 q^{11} + q^{13} + 2 q^{14} - 4 q^{16} - q^{17} + q^{19} + O(q^{20})\) Copy content Toggle raw display