Properties

Label 126960.h
Number of curves $1$
Conductor $126960$
CM no
Rank $0$

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

Elliptic curves in class 126960.h

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
126960.h1 126960e1 \([0, -1, 0, -176, -49824]\) \(-1058/1875\) \(-1074589440000\) \([]\) \(184320\) \(0.98755\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 126960.h1 has rank \(0\).

Complex multiplication

The elliptic curves in class 126960.h do not have complex multiplication.

Modular form 126960.2.a.h

sage: E.q_eigenform(10)
 
\(q - q^{3} - q^{5} - 3 q^{7} + q^{9} + 3 q^{11} + 4 q^{13} + q^{15} + 6 q^{17} + O(q^{20})\) Copy content Toggle raw display