Properties

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

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Show commands: SageMath
E = EllipticCurve("w1")
 
E.isogeny_class()
 

Elliptic curves in class 117600.w

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
117600.w1 117600fp1 \([0, -1, 0, 21152, 2042692]\) \(2836568/6561\) \(-2420662999104000\) \([]\) \(559104\) \(1.6359\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 117600.w1 has rank \(1\).

Complex multiplication

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

Modular form 117600.2.a.w

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