Properties

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

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Show commands: SageMath
E = EllipticCurve("gh1")
 
E.isogeny_class()
 

Elliptic curves in class 117600gh

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
117600.fh1 117600gh1 \([0, 1, 0, -16333, 803963]\) \(-3136000/27\) \(-4148928000000\) \([]\) \(248832\) \(1.2461\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 117600gh1 has rank \(1\).

Complex multiplication

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

Modular form 117600.2.a.gh

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