Properties

Label 94640co
Number of curves $1$
Conductor $94640$
CM no
Rank $1$

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

Elliptic curves in class 94640co

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients Torsion structure Modular degree Optimality
94640.c1 94640co1 [0, 0, 0, 5408, -465764] [] 538560 \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 94640co1 has rank \(1\).

Complex multiplication

The elliptic curves in class 94640co do not have complex multiplication.

Modular form 94640.2.a.co

sage: E.q_eigenform(10)
 
\( q - 3q^{3} + q^{5} - q^{7} + 6q^{9} - 5q^{11} - 3q^{15} - q^{17} + 6q^{19} + O(q^{20}) \)