Properties

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

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Show commands: SageMath
E = EllipticCurve("cn1")
 
E.isogeny_class()
 

Elliptic curves in class 94640cn

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
94640.d1 94640cn1 \([0, 0, 0, -35152, -2541929]\) \(-368050176/875\) \(-11420230094000\) \([]\) \(651456\) \(1.3853\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 94640cn1 has rank \(1\).

Complex multiplication

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

Modular form 94640.2.a.cn

sage: E.q_eigenform(10)
 
\(q - 3 q^{3} + q^{5} - q^{7} + 6 q^{9} - 4 q^{11} - 3 q^{15} - 7 q^{17} - 8 q^{19} + O(q^{20})\) Copy content Toggle raw display