Properties

Label 72128bg
Number of curves $1$
Conductor $72128$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("bg1")
 
E.isogeny_class()
 

Elliptic curves in class 72128bg

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
72128.u1 72128bg1 \([0, -1, 0, 1111, -123647]\) \(1257728/55223\) \(-6652857064448\) \([]\) \(73728\) \(1.1403\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 72128bg1 has rank \(1\).

Complex multiplication

The elliptic curves in class 72128bg do not have complex multiplication.

Modular form 72128.2.a.bg

sage: E.q_eigenform(10)
 
\(q - q^{3} - 2 q^{5} - 2 q^{9} - 2 q^{11} - q^{13} + 2 q^{15} + 6 q^{19} + O(q^{20})\) Copy content Toggle raw display