Properties

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

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Show commands: SageMath
E = EllipticCurve("p1")
 
E.isogeny_class()
 

Elliptic curves in class 141570.p

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
141570.p1 141570dy1 \([1, -1, 0, 57150, -87201900]\) \(132098879/21091200\) \(-3295871716560508800\) \([]\) \(2128896\) \(2.2326\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 141570.p1 has rank \(1\).

Complex multiplication

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

Modular form 141570.2.a.p

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