Properties

Label 51600.ck
Number of curves $1$
Conductor $51600$
CM no
Rank $0$

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Show commands for: SageMath
sage: E = EllipticCurve("ck1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 51600.ck

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
51600.ck1 51600v1 \([0, 1, 0, -33, -117]\) \(-640000/387\) \(-2476800\) \([]\) \(7296\) \(-0.070981\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 51600.ck1 has rank \(0\).

Complex multiplication

The elliptic curves in class 51600.ck do not have complex multiplication.

Modular form 51600.2.a.ck

sage: E.q_eigenform(10)
 
\(q + q^{3} - 2q^{7} + q^{9} + 6q^{13} - 3q^{17} - 2q^{19} + O(q^{20})\)  Toggle raw display