Properties

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

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Show commands: SageMath
E = EllipticCurve("i1")
 
E.isogeny_class()
 

Elliptic curves in class 141570.i

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
141570.i1 141570dq1 \([1, -1, 0, -2745, 234201325]\) \(-14641/151632000\) \(-23695172400124368000\) \([]\) \(3193344\) \(2.3965\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 141570.i1 has rank \(0\).

Complex multiplication

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

Modular form 141570.2.a.i

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