Properties

Label 430950ee
Number of curves $1$
Conductor $430950$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("ee1")
 
E.isogeny_class()
 

Elliptic curves in class 430950ee

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
430950.ee1 430950ee1 \([1, 0, 1, 8849, -3076552]\) \(29024858759/1566018750\) \(-4135268261718750\) \([]\) \(2949120\) \(1.6762\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 430950ee1 has rank \(1\).

Complex multiplication

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

Modular form 430950.2.a.ee

sage: E.q_eigenform(10)
 
\(q - q^{2} + q^{3} + q^{4} - q^{6} + 2 q^{7} - q^{8} + q^{9} + 5 q^{11} + q^{12} - 2 q^{14} + q^{16} + q^{17} - q^{18} - 6 q^{19} + O(q^{20})\) Copy content Toggle raw display