Properties

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

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Show commands: SageMath
E = EllipticCurve("m1")
 
E.isogeny_class()
 

Elliptic curves in class 141570.m

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
141570.m1 141570dv1 \([1, -1, 0, -1165036725, -36510259116875]\) \(-135412551115258010417641/367535633653760000000\) \(-474660498329949476413440000000\) \([]\) \(183859200\) \(4.3818\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 141570.m1 has rank \(0\).

Complex multiplication

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

Modular form 141570.2.a.m

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