Properties

Label 129430.o
Number of curves $1$
Conductor $129430$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("o1")
 
E.isogeny_class()
 

Elliptic curves in class 129430.o

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
129430.o1 129430t1 \([1, 1, 1, -116918780, -511580988675]\) \(-27961843710799634329/1700500998980000\) \(-10749484179739758690020000\) \([]\) \(26019840\) \(3.5579\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 129430.o1 has rank \(1\).

Complex multiplication

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

Modular form 129430.2.a.o

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