Properties

Label 476850ju
Number of curves $1$
Conductor $476850$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("ju1")
 
E.isogeny_class()
 

Elliptic curves in class 476850ju

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
476850.ju1 476850ju1 \([1, 0, 0, -11896113, -15795390033]\) \(-1708156114633/215622\) \(-23501980795989093750\) \([]\) \(24440832\) \(2.7391\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 476850ju1 has rank \(1\).

Complex multiplication

The elliptic curves in class 476850ju do not have complex multiplication.

Modular form 476850.2.a.ju

sage: E.q_eigenform(10)
 
\(q + q^{2} + q^{3} + q^{4} + q^{6} + 2 q^{7} + q^{8} + q^{9} + q^{11} + q^{12} - 3 q^{13} + 2 q^{14} + q^{16} + q^{18} - 5 q^{19} + O(q^{20})\) Copy content Toggle raw display