Properties

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

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Show commands: SageMath
E = EllipticCurve("ch1")
 
E.isogeny_class()
 

Elliptic curves in class 141570.ch

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
141570.ch1 141570de1 \([1, -1, 0, -75542319, -252709038675]\) \(-305088363822419089/15974400000\) \(-2496281536803225600000\) \([]\) \(14361600\) \(3.1743\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 141570.ch1 has rank \(1\).

Complex multiplication

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

Modular form 141570.2.a.ch

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