Properties

Label 141570f
Number of curves $1$
Conductor $141570$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("f1")
 
E.isogeny_class()
 

Elliptic curves in class 141570f

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
141570.dz1 141570f1 \([1, -1, 1, 1500718, 352812881]\) \(385226073849504061/278469750000000\) \(-270198919955250000000\) \([]\) \(5322240\) \(2.6088\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 141570f1 has rank \(1\).

Complex multiplication

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

Modular form 141570.2.a.f

sage: E.q_eigenform(10)
 
\(q + q^{2} + q^{4} + q^{5} - 3 q^{7} + q^{8} + q^{10} + q^{13} - 3 q^{14} + q^{16} - 6 q^{17} + 3 q^{19} + O(q^{20})\) Copy content Toggle raw display