Properties

Label 187200kr
Number of curves $1$
Conductor $187200$
CM no
Rank $2$

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Show commands: SageMath
E = EllipticCurve("kr1")
 
E.isogeny_class()
 

Elliptic curves in class 187200kr

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
187200.l1 187200kr1 \([0, 0, 0, 1140, 3760]\) \(274360/169\) \(-100926259200\) \([]\) \(207360\) \(0.80062\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 187200kr1 has rank \(2\).

Complex multiplication

The elliptic curves in class 187200kr do not have complex multiplication.

Modular form 187200.2.a.kr

sage: E.q_eigenform(10)
 
\(q - 4 q^{7} - 5 q^{11} - q^{13} + q^{17} - 7 q^{19} + O(q^{20})\) Copy content Toggle raw display