Properties

Label 176400kr
Number of curves $1$
Conductor $176400$
CM no
Rank $1$

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

Elliptic curves in class 176400kr

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients Torsion structure Modular degree Optimality
176400.ri1 176400kr1 [0, 0, 0, 31605, -6204870] [] 1437696 \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 176400kr1 has rank \(1\).

Complex multiplication

The elliptic curves in class 176400kr do not have complex multiplication.

Modular form 176400.2.a.kr

sage: E.q_eigenform(10)
 
\( q + 4q^{11} - 3q^{13} + 7q^{17} - 6q^{19} + O(q^{20}) \)