Properties

Label 129360.h
Number of curves $1$
Conductor $129360$
CM no
Rank $0$

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

Elliptic curves in class 129360.h

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
129360.h1 129360m1 \([0, -1, 0, -401, 3165]\) \(569906176/13365\) \(167650560\) \([]\) \(53760\) \(0.36369\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 129360.h1 has rank \(0\).

Complex multiplication

The elliptic curves in class 129360.h do not have complex multiplication.

Modular form 129360.2.a.h

sage: E.q_eigenform(10)
 
\(q - q^{3} - q^{5} + q^{9} - q^{11} - 3 q^{13} + q^{15} + 4 q^{17} - 2 q^{19} + O(q^{20})\) Copy content Toggle raw display