Properties

Label 23104k
Number of curves $1$
Conductor $23104$
CM no
Rank $2$

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Show commands: SageMath
E = EllipticCurve("k1")
 
E.isogeny_class()
 

Elliptic curves in class 23104k

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
23104.ba1 23104k1 \([0, 0, 0, -722, -13718]\) \(-13824/19\) \(-57207791296\) \([]\) \(11520\) \(0.75665\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 23104k1 has rank \(2\).

Complex multiplication

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

Modular form 23104.2.a.k

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