Properties

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

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Show commands for: SageMath
sage: E = EllipticCurve("x1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 51600.x

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
51600.x1 51600bn1 \([0, -1, 0, -6712133, -6795441363]\) \(-522547125460258816/9506987907075\) \(-608447226052800000000\) \([]\) \(2580480\) \(2.7841\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 51600.x1 has rank \(0\).

Complex multiplication

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

Modular form 51600.2.a.x

sage: E.q_eigenform(10)
 
\(q - q^{3} + q^{9} - 5q^{11} - q^{13} - 5q^{17} - 4q^{19} + O(q^{20})\)  Toggle raw display