Properties

Label 68544co
Number of curves $1$
Conductor $68544$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("co1")
 
E.isogeny_class()
 

Elliptic curves in class 68544co

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
68544.n1 68544co1 \([0, 0, 0, 4596, 2896]\) \(449455096/260253\) \(-6216890351616\) \([]\) \(100352\) \(1.1443\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 68544co1 has rank \(0\).

Complex multiplication

The elliptic curves in class 68544co do not have complex multiplication.

Modular form 68544.2.a.co

sage: E.q_eigenform(10)
 
\(q - 3 q^{5} + q^{7} + q^{11} + q^{13} + q^{17} - 2 q^{19} + O(q^{20})\) Copy content Toggle raw display