Properties

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

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Show commands: SageMath
E = EllipticCurve("o1")
 
E.isogeny_class()
 

Elliptic curves in class 213444o

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
213444.m1 213444o1 \([0, 0, 0, -221529, 40133401]\) \(-658266368/21\) \(-38355981569136\) \([]\) \(1105920\) \(1.7017\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 213444o1 has rank \(2\).

Complex multiplication

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

Modular form 213444.2.a.o

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