Properties

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

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Show commands: SageMath
E = EllipticCurve("m1")
 
E.isogeny_class()
 

Elliptic curves in class 129430m

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
129430.p1 129430m1 \([1, 0, 0, -263521, -52123799]\) \(-320153881321/240800\) \(-1522184222199200\) \([]\) \(1182720\) \(1.8463\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 129430m1 has rank \(1\).

Complex multiplication

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

Modular form 129430.2.a.m

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