Properties

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

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Show commands: SageMath
E = EllipticCurve("g1")
 
E.isogeny_class()
 

Elliptic curves in class 129360.g

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
129360.g1 129360b1 \([0, -1, 0, -4916, 163395]\) \(-142476544/40095\) \(-3698235137520\) \([]\) \(225792\) \(1.1270\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 129360.g1 has rank \(1\).

Complex multiplication

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

Modular form 129360.2.a.g

sage: E.q_eigenform(10)
 
\(q - q^{3} - q^{5} + q^{9} - q^{11} - 3 q^{13} + q^{15} - 2 q^{17} - 8 q^{19} + O(q^{20})\) Copy content Toggle raw display