Properties

Label 129360.ev
Number of curves $1$
Conductor $129360$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("ev1")
 
E.isogeny_class()
 

Elliptic curves in class 129360.ev

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
129360.ev1 129360gp1 \([0, 1, 0, -1367781, -610174125]\) \(1409995418369929216/15792626953125\) \(3169643400000000000\) \([]\) \(2534400\) \(2.3639\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 129360.ev1 has rank \(1\).

Complex multiplication

The elliptic curves in class 129360.ev do not have complex multiplication.

Modular form 129360.2.a.ev

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