Properties

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

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Show commands: SageMath
E = EllipticCurve("fi1")
 
E.isogeny_class()
 

Elliptic curves in class 117600fi

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
117600.h1 117600fi1 \([0, -1, 0, -8493, 2245797]\) \(-5624320/177147\) \(-2134135542067200\) \([]\) \(696960\) \(1.6218\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 117600fi1 has rank \(1\).

Complex multiplication

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

Modular form 117600.2.a.fi

sage: E.q_eigenform(10)
 
\(q - q^{3} + q^{9} - 4 q^{11} - 7 q^{13} + 4 q^{17} - q^{19} + O(q^{20})\) Copy content Toggle raw display