Properties

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

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Show commands: SageMath
E = EllipticCurve("s1")
 
E.isogeny_class()
 

Elliptic curves in class 4368.s

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
4368.s1 4368z1 \([0, 1, 0, -1736, 27636]\) \(-141339344329/2167074\) \(-8876335104\) \([]\) \(2880\) \(0.71133\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 4368.s1 has rank \(1\).

Complex multiplication

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

Modular form 4368.2.a.s

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