Properties

Label 379050je
Number of curves $1$
Conductor $379050$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("je1")
 
E.isogeny_class()
 

Elliptic curves in class 379050je

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
379050.je1 379050je1 \([1, 0, 0, 62987, -28612063]\) \(23497109375/314399232\) \(-369779721379084800\) \([]\) \(6220800\) \(2.0517\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 379050je1 has rank \(1\).

Complex multiplication

The elliptic curves in class 379050je do not have complex multiplication.

Modular form 379050.2.a.je

sage: E.q_eigenform(10)
 
\(q + q^{2} + q^{3} + q^{4} + q^{6} + q^{7} + q^{8} + q^{9} - 2 q^{11} + q^{12} - 5 q^{13} + q^{14} + q^{16} - q^{17} + q^{18} + O(q^{20})\) Copy content Toggle raw display