Properties

Label 4368.z
Number of curves $1$
Conductor $4368$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("z1")
 
E.isogeny_class()
 

Elliptic curves in class 4368.z

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
4368.z1 4368y1 \([0, 1, 0, -1607744, 788598324]\) \(-112205650221491190337/745029571313664\) \(-3051641124100767744\) \([]\) \(114240\) \(2.3824\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 4368.z1 has rank \(0\).

Complex multiplication

The elliptic curves in class 4368.z do not have complex multiplication.

Modular form 4368.2.a.z

sage: E.q_eigenform(10)
 
\(q + q^{3} + 3 q^{5} + q^{7} + q^{9} - q^{11} - q^{13} + 3 q^{15} + 7 q^{17} - q^{19} + O(q^{20})\) Copy content Toggle raw display