Properties

Label 40656ci
Number of curves $1$
Conductor $40656$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("ci1")
 
E.isogeny_class()
 

Elliptic curves in class 40656ci

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
40656.cr1 40656ci1 \([0, 1, 0, -1355845, -606038413]\) \(313944395776/1240029\) \(1088762793359560704\) \([]\) \(929280\) \(2.3182\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 40656ci1 has rank \(0\).

Complex multiplication

The elliptic curves in class 40656ci do not have complex multiplication.

Modular form 40656.2.a.ci

sage: E.q_eigenform(10)
 
\(q + q^{3} + q^{5} - q^{7} + q^{9} - 6 q^{13} + q^{15} - 7 q^{17} + 8 q^{19} + O(q^{20})\) Copy content Toggle raw display