Properties

Label 134310.p
Number of curves $1$
Conductor $134310$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("p1")
 
E.isogeny_class()
 

Elliptic curves in class 134310.p

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
134310.p1 134310cf1 \([1, 1, 0, -1510082, 703566714]\) \(214965934543825921/3476988281250\) \(6159696836519531250\) \([]\) \(5806080\) \(2.4049\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 134310.p1 has rank \(1\).

Complex multiplication

The elliptic curves in class 134310.p do not have complex multiplication.

Modular form 134310.2.a.p

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