Properties

Label 129430h
Number of curves $1$
Conductor $129430$
CM no
Rank $1$

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

Elliptic curves in class 129430h

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
129430.c1 129430h1 \([1, 1, 0, 64677, -1728923]\) \(4733169839/2949800\) \(-18646756721940200\) \([]\) \(1064448\) \(1.8111\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 129430h1 has rank \(1\).

Complex multiplication

The elliptic curves in class 129430h do not have complex multiplication.

Modular form 129430.2.a.h

sage: E.q_eigenform(10)
 
\(q - q^{2} - q^{3} + q^{4} - q^{5} + q^{6} + q^{7} - q^{8} - 2 q^{9} + q^{10} - 5 q^{11} - q^{12} - 2 q^{13} - q^{14} + q^{15} + q^{16} - 4 q^{17} + 2 q^{18} + 3 q^{19} + O(q^{20})\) Copy content Toggle raw display