Properties

Label 1776.g
Number of curves $1$
Conductor $1776$
CM no
Rank $1$

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

Elliptic curves in class 1776.g

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
1776.g1 1776d1 \([0, 1, 0, -200, 1044]\) \(-434163602/8991\) \(-18413568\) \([]\) \(800\) \(0.18530\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 1776.g1 has rank \(1\).

Complex multiplication

The elliptic curves in class 1776.g do not have complex multiplication.

Modular form 1776.2.a.g

sage: E.q_eigenform(10)
 
\(q + q^{3} - 4 q^{5} + q^{7} + q^{9} + 3 q^{11} - 5 q^{13} - 4 q^{15} + 7 q^{17} - 5 q^{19} + O(q^{20})\) Copy content Toggle raw display