Properties

Label 23064.l
Number of curves $1$
Conductor $23064$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("l1")
 
E.isogeny_class()
 

Elliptic curves in class 23064.l

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
23064.l1 23064g1 \([0, 1, 0, -72, 240]\) \(-21266/3\) \(-5904384\) \([]\) \(6240\) \(0.030433\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 23064.l1 has rank \(1\).

Complex multiplication

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

Modular form 23064.2.a.l

sage: E.q_eigenform(10)
 
\(q + q^{3} + 2 q^{5} - 5 q^{7} + q^{9} - 3 q^{11} + 2 q^{15} - 6 q^{17} + 6 q^{19} + O(q^{20})\) Copy content Toggle raw display