Properties

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

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Show commands: SageMath
E = EllipticCurve("i1")
 
E.isogeny_class()
 

Elliptic curves in class 134310.i

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
134310.i1 134310cu1 \([1, 1, 0, -6613, -358607]\) \(-264384822281569/299100899700\) \(-36191208863700\) \([]\) \(449280\) \(1.2960\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 134310.i1 has rank \(1\).

Complex multiplication

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

Modular form 134310.2.a.i

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