Properties

Label 129430q
Number of curves $1$
Conductor $129430$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("q1")
 
E.isogeny_class()
 

Elliptic curves in class 129430q

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
129430.n1 129430q1 \([1, 1, 1, -71225, 442867287]\) \(-1849/3920\) \(-84717010668074256080\) \([]\) \(3929856\) \(2.5028\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 129430q1 has rank \(0\).

Complex multiplication

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

Modular form 129430.2.a.q

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