Properties

Label 404600i
Number of curves $1$
Conductor $404600$
CM no
Rank $1$

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

Elliptic curves in class 404600i

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
404600.i1 404600i1 \([0, 1, 0, -204708, -84567287]\) \(-6288640/16807\) \(-2535500763643750000\) \([]\) \(6220800\) \(2.2189\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 404600i1 has rank \(1\).

Complex multiplication

The elliptic curves in class 404600i do not have complex multiplication.

Modular form 404600.2.a.i

sage: E.q_eigenform(10)
 
\(q - 2 q^{3} + q^{7} + q^{9} - q^{11} + 4 q^{13} + 6 q^{19} + O(q^{20})\) Copy content Toggle raw display