Properties

Label 430950.g
Number of curves $1$
Conductor $430950$
CM no
Rank $1$

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

Elliptic curves in class 430950.g

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
430950.g1 430950g1 \([1, 1, 0, -44998450, 128364536500]\) \(-1264938843025/161803008\) \(-1288942230232507500000000\) \([]\) \(75479040\) \(3.3600\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 430950.g1 has rank \(1\).

Complex multiplication

The elliptic curves in class 430950.g do not have complex multiplication.

Modular form 430950.2.a.g

sage: E.q_eigenform(10)
 
\(q - q^{2} - q^{3} + q^{4} + q^{6} - 3 q^{7} - q^{8} + q^{9} - q^{12} + 3 q^{14} + q^{16} - q^{17} - q^{18} + q^{19} + O(q^{20})\) Copy content Toggle raw display