Properties

Label 23104.bz
Number of curves $1$
Conductor $23104$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("bz1")
 
E.isogeny_class()
 

Elliptic curves in class 23104.bz

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
23104.bz1 23104bk1 \([0, 0, 0, -27436, -39617584]\) \(-27/8\) \(-676725150772625408\) \([]\) \(437760\) \(2.1005\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 23104.bz1 has rank \(0\).

Complex multiplication

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

Modular form 23104.2.a.bz

sage: E.q_eigenform(10)
 
\(q + 3 q^{3} - 2 q^{5} + 3 q^{7} + 6 q^{9} - 2 q^{11} + 3 q^{13} - 6 q^{15} - q^{17} + O(q^{20})\) Copy content Toggle raw display