Properties

Label 15680.be
Number of curves $1$
Conductor $15680$
CM no
Rank $1$

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

Elliptic curves in class 15680.be

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
15680.be1 15680ci1 \([0, -1, 0, -3201, -467039]\) \(-196/5\) \(-92561489592320\) \([]\) \(32256\) \(1.3605\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 15680.be1 has rank \(1\).

Complex multiplication

The elliptic curves in class 15680.be do not have complex multiplication.

Modular form 15680.2.a.be

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