Properties

Label 188760.h
Number of curves $1$
Conductor $188760$
CM no
Rank $1$

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Show commands: SageMath
sage: E = EllipticCurve("h1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 188760.h

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
188760.h1 188760bf1 \([0, -1, 0, -9229436, 10796127465]\) \(-371157741803156856064/32988222759375\) \(-7727689110720150000\) \([]\) \(7983360\) \(2.6647\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 188760.h1 has rank \(1\).

Complex multiplication

The elliptic curves in class 188760.h do not have complex multiplication.

Modular form 188760.2.a.h

sage: E.q_eigenform(10)
 
\(q - q^{3} - q^{5} - 2q^{7} + q^{9} - q^{13} + q^{15} + 3q^{17} - 4q^{19} + O(q^{20})\)  Toggle raw display