Properties

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

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Show commands: SageMath
E = EllipticCurve("hg1")
 
E.isogeny_class()
 

Elliptic curves in class 430950.hg

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
430950.hg1 430950hg1 \([1, 0, 0, 214700437, -2335536130383]\) \(414491631408272360789951/1132262271188620848000\) \(-2989880059857451926750000000\) \([]\) \(232243200\) \(3.9557\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 430950.hg1 has rank \(1\).

Complex multiplication

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

Modular form 430950.2.a.hg

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