Properties

Label 380926be
Number of curves $1$
Conductor $380926$
CM no
Rank $1$

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

Elliptic curves in class 380926be

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
380926.be1 380926be1 \([1, -1, 1, -41870289, -104319906687]\) \(-2710010709/1472\) \(-4409388660537339786944\) \([]\) \(101896704\) \(3.1019\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 380926be1 has rank \(1\).

Complex multiplication

The elliptic curves in class 380926be do not have complex multiplication.

Modular form 380926.2.a.be

sage: E.q_eigenform(10)
 
\(q + q^{2} - 3 q^{3} + q^{4} + 2 q^{5} - 3 q^{6} + q^{8} + 6 q^{9} + 2 q^{10} + 5 q^{11} - 3 q^{12} - 6 q^{15} + q^{16} - 4 q^{17} + 6 q^{18} - 7 q^{19} + O(q^{20})\) Copy content Toggle raw display