Properties

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

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Show commands: SageMath
E = EllipticCurve("cy1")
 
E.isogeny_class()
 

Elliptic curves in class 129360.cy

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
129360.cy1 129360fv1 \([0, -1, 0, -30, -153]\) \(-3937024/12375\) \(-9702000\) \([]\) \(27648\) \(0.027203\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 129360.cy1 has rank \(1\).

Complex multiplication

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

Modular form 129360.2.a.cy

sage: E.q_eigenform(10)
 
\(q - q^{3} + q^{5} + q^{9} + q^{11} - 7 q^{13} - q^{15} - 2 q^{17} + O(q^{20})\) Copy content Toggle raw display