Properties

Label 172380.r
Number of curves $1$
Conductor $172380$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("r1")
 
E.isogeny_class()
 

Elliptic curves in class 172380.r

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
172380.r1 172380ba1 \([0, -1, 0, -14590, -803063]\) \(-4447738624/1077375\) \(-83204533542000\) \([]\) \(725760\) \(1.3896\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 172380.r1 has rank \(0\).

Complex multiplication

The elliptic curves in class 172380.r do not have complex multiplication.

Modular form 172380.2.a.r

sage: E.q_eigenform(10)
 
\(q - q^{3} + q^{5} + 5 q^{7} + q^{9} - q^{11} - q^{15} + q^{17} + 5 q^{19} + O(q^{20})\) Copy content Toggle raw display