Properties

Label 311696.be
Number of curves $1$
Conductor $311696$
CM no
Rank $1$

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

Elliptic curves in class 311696.be

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
311696.be1 311696be1 \([0, -1, 0, -1336364, 595036972]\) \(581972233018192/25929211\) \(11759405815902976\) \([]\) \(2995200\) \(2.1608\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 311696.be1 has rank \(1\).

Complex multiplication

The elliptic curves in class 311696.be do not have complex multiplication.

Modular form 311696.2.a.be

sage: E.q_eigenform(10)
 
\(q - q^{3} + 3 q^{5} - q^{7} - 2 q^{9} + q^{13} - 3 q^{15} - q^{19} + O(q^{20})\) Copy content Toggle raw display