Properties

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

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Show commands: SageMath
E = EllipticCurve("be1")
 
E.isogeny_class()
 

Elliptic curves in class 379050be

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
379050.be1 379050be1 \([1, 1, 0, 10717000, 10429164000]\) \(185183253170999/171032148000\) \(-125724345030974812500000\) \([]\) \(49766400\) \(3.1196\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 379050be1 has rank \(1\).

Complex multiplication

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

Modular form 379050.2.a.be

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