Properties

Label 23064j
Number of curves $1$
Conductor $23064$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("j1")
 
E.isogeny_class()
 

Elliptic curves in class 23064j

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
23064.f1 23064j1 \([0, -1, 0, 176, -23]\) \(1257728/729\) \(-347482224\) \([]\) \(6144\) \(0.32831\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 23064j1 has rank \(1\).

Complex multiplication

The elliptic curves in class 23064j do not have complex multiplication.

Modular form 23064.2.a.j

sage: E.q_eigenform(10)
 
\(q - q^{3} + 3 q^{5} + q^{7} + q^{9} + 2 q^{11} - 2 q^{13} - 3 q^{15} + q^{19} + O(q^{20})\) Copy content Toggle raw display