Properties

Label 23064.a
Number of curves $1$
Conductor $23064$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("a1")
 
E.isogeny_class()
 

Elliptic curves in class 23064.a

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
23064.a1 23064c1 \([0, -1, 0, 7368, -2576619]\) \(3114752/203391\) \(-2888164178916336\) \([]\) \(122880\) \(1.6462\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 23064.a1 has rank \(0\).

Complex multiplication

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

Modular form 23064.2.a.a

sage: E.q_eigenform(10)
 
\(q - q^{3} - 3 q^{5} + q^{7} + q^{9} + 6 q^{11} + 3 q^{15} + 4 q^{17} - 3 q^{19} + O(q^{20})\) Copy content Toggle raw display