Properties

Label 23104.y
Number of curves $1$
Conductor $23104$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("y1")
 
E.isogeny_class()
 

Elliptic curves in class 23104.y

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
23104.y1 23104bp1 \([0, 0, 0, -5054, -4156554]\) \(-4741632/2476099\) \(-7455376569486016\) \([]\) \(172800\) \(1.7247\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 23104.y1 has rank \(1\).

Complex multiplication

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

Modular form 23104.2.a.y

sage: E.q_eigenform(10)
 
\(q - 3 q^{5} + 5 q^{7} - 3 q^{9} - 5 q^{11} - 4 q^{13} - 3 q^{17} + O(q^{20})\) Copy content Toggle raw display