Properties

Label 212160be
Number of curves $1$
Conductor $212160$
CM no
Rank $0$

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

Elliptic curves in class 212160be

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
212160.ed1 212160be1 \([0, 1, 0, -53381, 43923555]\) \(-1026767289066496/50316682419315\) \(-824388524758056960\) \([]\) \(3394560\) \(2.1178\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 212160be1 has rank \(0\).

Complex multiplication

The elliptic curves in class 212160be do not have complex multiplication.

Modular form 212160.2.a.be

sage: E.q_eigenform(10)
 
\(q + q^{3} - q^{5} - 2 q^{7} + q^{9} - 6 q^{11} - q^{13} - q^{15} + q^{17} + 6 q^{19} + O(q^{20})\) Copy content Toggle raw display