Properties

Label 443760.g
Number of curves $1$
Conductor $443760$
CM no
Rank $1$

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

Elliptic curves in class 443760.g

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
443760.g1 443760g1 \([0, -1, 0, -496429381, 4323869825581]\) \(-522547125460258816/9506987907075\) \(-246157811970350082751180800\) \([]\) \(198696960\) \(3.8600\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 443760.g1 has rank \(1\).

Complex multiplication

The elliptic curves in class 443760.g do not have complex multiplication.

Modular form 443760.2.a.g

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