Properties

Label 126960.g
Number of curves $1$
Conductor $126960$
CM no
Rank $1$

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

Elliptic curves in class 126960.g

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
126960.g1 126960bj1 \([0, -1, 0, -2137336, -1807951760]\) \(-3366353209/2457600\) \(-788304189139294617600\) \([]\) \(6359040\) \(2.7092\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 126960.g1 has rank \(1\).

Complex multiplication

The elliptic curves in class 126960.g do not have complex multiplication.

Modular form 126960.2.a.g

sage: E.q_eigenform(10)
 
\(q - q^{3} - q^{5} - 3 q^{7} + q^{9} + q^{11} - 6 q^{13} + q^{15} - 4 q^{19} + O(q^{20})\) Copy content Toggle raw display