Properties

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

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Show commands: SageMath
E = EllipticCurve("fo1")
 
E.isogeny_class()
 

Elliptic curves in class 129360.fo

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
129360.fo1 129360gs1 \([0, 1, 0, 427019, 56178275]\) \(17869652393984/13156171875\) \(-6339831664320000000\) \([]\) \(2709504\) \(2.2961\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 129360.fo1 has rank \(1\).

Complex multiplication

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

Modular form 129360.2.a.fo

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