Properties

Label 117600j
Number of curves $1$
Conductor $117600$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("j1")
 
E.isogeny_class()
 

Elliptic curves in class 117600j

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
117600.b1 117600j1 \([0, -1, 0, 22867, 881637]\) \(3584/3\) \(-1106841792000000\) \([]\) \(537600\) \(1.5744\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 117600j1 has rank \(1\).

Complex multiplication

The elliptic curves in class 117600j do not have complex multiplication.

Modular form 117600.2.a.j

sage: E.q_eigenform(10)
 
\(q - q^{3} + q^{9} - 6 q^{11} - 5 q^{13} - 2 q^{17} - q^{19} + O(q^{20})\) Copy content Toggle raw display