Properties

Label 94640cg
Number of curves $1$
Conductor $94640$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("cg1")
 
E.isogeny_class()
 

Elliptic curves in class 94640cg

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
94640.u1 94640cg1 \([0, -1, 0, 324424, 226270576]\) \(86938307/560000\) \(-24324176481812480000\) \([]\) \(2515968\) \(2.4016\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 94640cg1 has rank \(0\).

Complex multiplication

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

Modular form 94640.2.a.cg

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