Properties

Label 94640cp
Number of curves $1$
Conductor $94640$
CM no
Rank $2$

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Show commands: SageMath
E = EllipticCurve("cp1")
 
E.isogeny_class()
 

Elliptic curves in class 94640cp

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
94640.bb1 94640cp1 \([0, -1, 0, 1920, 102400]\) \(86938307/560000\) \(-5039390720000\) \([]\) \(193536\) \(1.1191\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 94640cp1 has rank \(2\).

Complex multiplication

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

Modular form 94640.2.a.cp

sage: E.q_eigenform(10)
 
\(q - q^{3} + q^{5} - q^{7} - 2 q^{9} + 5 q^{11} - q^{15} - 6 q^{17} - 8 q^{19} + O(q^{20})\) Copy content Toggle raw display