Properties

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

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Show commands: SageMath
E = EllipticCurve("fj1")
 
E.isogeny_class()
 

Elliptic curves in class 117600fj

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
117600.g1 117600fj1 \([0, -1, 0, -20008, 76727512]\) \(-392/1125\) \(-2542277241000000000\) \([]\) \(2128896\) \(2.2106\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 117600fj1 has rank \(1\).

Complex multiplication

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

Modular form 117600.2.a.fj

sage: E.q_eigenform(10)
 
\(q - q^{3} + q^{9} - 5 q^{11} + q^{13} - 8 q^{17} - 5 q^{19} + O(q^{20})\) Copy content Toggle raw display