Properties

Label 193600.g
Number of curves $1$
Conductor $193600$
CM no
Rank $2$

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Show commands: SageMath
E = EllipticCurve("g1")
 
E.isogeny_class()
 

Elliptic curves in class 193600.g

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
193600.g1 193600b1 \([0, 0, 0, 2420, 48400]\) \(3267/4\) \(-1919025152000\) \([]\) \(479232\) \(1.0430\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 193600.g1 has rank \(2\).

Complex multiplication

The elliptic curves in class 193600.g do not have complex multiplication.

Modular form 193600.2.a.g

sage: E.q_eigenform(10)
 
\(q - 3 q^{3} - q^{7} + 6 q^{9} + 6 q^{13} - 4 q^{17} + 2 q^{19} + O(q^{20})\) Copy content Toggle raw display