Properties

Label 141610.i
Number of curves $1$
Conductor $141610$
CM no
Rank $1$

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

Elliptic curves in class 141610.i

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
141610.i1 141610by1 \([1, 1, 0, -3236083, 5958815213]\) \(-26934258841/94699520\) \(-13177275505585108090880\) \([]\) \(7741440\) \(2.9304\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 141610.i1 has rank \(1\).

Complex multiplication

The elliptic curves in class 141610.i do not have complex multiplication.

Modular form 141610.2.a.i

sage: E.q_eigenform(10)
 
\(q - q^{2} - q^{3} + q^{4} - q^{5} + q^{6} - q^{8} - 2 q^{9} + q^{10} - 2 q^{11} - q^{12} + q^{15} + q^{16} + 2 q^{18} + 2 q^{19} + O(q^{20})\) Copy content Toggle raw display