Properties

Label 266616.i
Number of curves $1$
Conductor $266616$
CM no
Rank $1$

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

Elliptic curves in class 266616.i

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
266616.i1 266616i1 \([0, 0, 0, -1867899, -1395092554]\) \(-3261064466/1917027\) \(-423694402389361022976\) \([]\) \(10137600\) \(2.6605\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 266616.i1 has rank \(1\).

Complex multiplication

The elliptic curves in class 266616.i do not have complex multiplication.

Modular form 266616.2.a.i

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