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Properties

Label 436810i
Number of curves $1$
Conductor $436810$
CM no
Rank $0$

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

Rank

Copy content sage:E.rank()
 

The elliptic curve 436810i1 has rank \(0\).

Complex multiplication

The elliptic curves in class 436810i do not have complex multiplication.

Modular form 436810.2.a.i

Copy content sage:E.q_eigenform(10)
 
\(q - q^{2} - q^{3} + q^{4} - q^{5} + q^{6} - 4 q^{7} - q^{8} - 2 q^{9} + q^{10} - q^{12} + 3 q^{13} + 4 q^{14} + q^{15} + q^{16} - 6 q^{17} + 2 q^{18} + O(q^{20})\) Copy content Toggle raw display

Elliptic curves in class 436810i

Copy content sage:E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
436810.i1 436810i1 \([1, 1, 0, -3648273, 12498443797]\) \(-9393931/112640\) \(-64391888345248698460160\) \([]\) \(48153600\) \(3.0584\) \(\Gamma_0(N)\)-optimal