Properties

Label 40656c
Number of curves $1$
Conductor $40656$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("c1")
 
E.isogeny_class()
 

Elliptic curves in class 40656c

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
40656.e1 40656c1 \([0, -1, 0, 1256908, 2469488991]\) \(5820759945472/73222472421\) \(-2762476156390530078576\) \([]\) \(1774080\) \(2.7950\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 40656c1 has rank \(1\).

Complex multiplication

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

Modular form 40656.2.a.c

sage: E.q_eigenform(10)
 
\(q - q^{3} - 3 q^{5} - q^{7} + q^{9} + 3 q^{13} + 3 q^{15} - 4 q^{17} + q^{19} + O(q^{20})\) Copy content Toggle raw display