Properties

Label 67600.x
Number of curves $1$
Conductor $67600$
CM no
Rank $1$

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

Elliptic curves in class 67600.x

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
67600.x1 67600cu1 \([0, 1, 0, 25632, -128972]\) \(1715\) \(-1085900735795200\) \([]\) \(359424\) \(1.5745\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 67600.x1 has rank \(1\).

Complex multiplication

The elliptic curves in class 67600.x do not have complex multiplication.

Modular form 67600.2.a.x

sage: E.q_eigenform(10)
 
\(q - 2 q^{3} + 5 q^{7} + q^{9} - 3 q^{11} + 5 q^{17} + 4 q^{19} + O(q^{20})\) Copy content Toggle raw display