Properties

Label 141570em
Number of curves $1$
Conductor $141570$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("em1")
 
E.isogeny_class()
 

Elliptic curves in class 141570em

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
141570.be1 141570em1 \([1, -1, 0, -32940, 3330256]\) \(-4073768343611/2555904000\) \(-2479991095296000\) \([]\) \(787968\) \(1.6555\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 141570em1 has rank \(0\).

Complex multiplication

The elliptic curves in class 141570em do not have complex multiplication.

Modular form 141570.2.a.em

sage: E.q_eigenform(10)
 
\(q - q^{2} + q^{4} - q^{5} + 3 q^{7} - q^{8} + q^{10} - q^{13} - 3 q^{14} + q^{16} + 2 q^{17} - q^{19} + O(q^{20})\) Copy content Toggle raw display