Properties

Label 213444.i
Number of curves $1$
Conductor $213444$
CM no
Rank $2$

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

Elliptic curves in class 213444.i

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
213444.i1 213444n1 \([0, 0, 0, 231, 5929]\) \(256/3\) \(-15975002736\) \([]\) \(165888\) \(0.63878\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 213444.i1 has rank \(2\).

Complex multiplication

The elliptic curves in class 213444.i do not have complex multiplication.

Modular form 213444.2.a.i

sage: E.q_eigenform(10)
 
\(q - 3 q^{5} - 5 q^{13} - 6 q^{17} - 7 q^{19} + O(q^{20})\) Copy content Toggle raw display