Properties

Label 123210be
Number of curves $1$
Conductor $123210$
CM no
Rank $0$

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

Elliptic curves in class 123210be

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
123210.r1 123210be1 \([1, -1, 0, -351405, -142096515035]\) \(-1369/2488320\) \(-8722701269204016095262720\) \([]\) \(32820480\) \(3.4645\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 123210be1 has rank \(0\).

Complex multiplication

The elliptic curves in class 123210be do not have complex multiplication.

Modular form 123210.2.a.be

sage: E.q_eigenform(10)
 
\(q - q^{2} + q^{4} - q^{5} + 2 q^{7} - q^{8} + q^{10} + 5 q^{11} - 5 q^{13} - 2 q^{14} + q^{16} - 5 q^{17} - 2 q^{19} + O(q^{20})\) Copy content Toggle raw display