Properties

Label 23104h
Number of curves $1$
Conductor $23104$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("h1")
 
E.isogeny_class()
 

Elliptic curves in class 23104h

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
23104.b1 23104h1 \([0, 0, 0, -27436, 2085136]\) \(-4104\) \(-556517393727488\) \([]\) \(153216\) \(1.5478\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 23104h1 has rank \(1\).

Complex multiplication

The elliptic curves in class 23104h do not have complex multiplication.

Modular form 23104.2.a.h

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