Properties

Label 117600.fc
Number of curves $1$
Conductor $117600$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("fc1")
 
E.isogeny_class()
 

Elliptic curves in class 117600.fc

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
117600.fc1 117600gj1 \([0, 1, 0, -4479008, -3650101512]\) \(-215474070728/3645\) \(-168101597160000000\) \([]\) \(2128896\) \(2.4353\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 117600.fc1 has rank \(1\).

Complex multiplication

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

Modular form 117600.2.a.fc

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