Properties

Label 117600.di
Number of curves $1$
Conductor $117600$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("di1")
 
E.isogeny_class()
 

Elliptic curves in class 117600.di

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
117600.di1 117600x1 \([0, -1, 0, 81667, 14582037]\) \(12800/27\) \(-127060920000000000\) \([]\) \(1088640\) \(1.9663\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 117600.di1 has rank \(0\).

Complex multiplication

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

Modular form 117600.2.a.di

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