Properties

Label 51984.g
Number of curves $1$
Conductor $51984$
CM no
Rank $0$

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

Elliptic curves in class 51984.g

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
51984.g1 51984n1 \([0, 0, 0, -1378659, 623064701]\) \(1462911232\) \(198096279310224\) \([]\) \(574560\) \(2.0583\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 51984.g1 has rank \(0\).

Complex multiplication

The elliptic curves in class 51984.g do not have complex multiplication.

Modular form 51984.2.a.g

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