Properties

Label 2800i
Number of curves 11
Conductor 28002800
CM no
Rank 00

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

Elliptic curves in class 2800i

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
2800.n1 2800i1 [0,0,0,25,75][0, 0, 0, 25, -75] 172800/343172800/343 3430000-3430000 [][] 288288 0.061508-0.061508 Γ0(N)\Gamma_0(N)-optimal

Rank

sage: E.rank()
 

The elliptic curve 2800i1 has rank 00.

Complex multiplication

The elliptic curves in class 2800i do not have complex multiplication.

Modular form 2800.2.a.i

sage: E.q_eigenform(10)
 
qq73q9q112q134q17+2q19+O(q20)q - q^{7} - 3 q^{9} - q^{11} - 2 q^{13} - 4 q^{17} + 2 q^{19} + O(q^{20}) Copy content Toggle raw display