Properties

Label 445280i
Number of curves 11
Conductor 445280445280
CM no
Rank 11

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

Elliptic curves in class 445280i

Copy content sage:E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
445280.i1 445280i1 [0,1,0,11939,126361035][0, 1, 0, 11939, 126361035] 25934336/95054687525934336/950546875 6897466459840000000-6897466459840000000 [][] 56448005644800 2.29372.2937 Γ0(N)\Gamma_0(N)-optimal

Rank

Copy content sage:E.rank()
 

The elliptic curve 445280i1 has rank 11.

Complex multiplication

The elliptic curves in class 445280i do not have complex multiplication.

Modular form 445280.2.a.i

Copy content sage:E.q_eigenform(10)
 
q2q3q5q7+q9+2q15+q17+4q19+O(q20)q - 2 q^{3} - q^{5} - q^{7} + q^{9} + 2 q^{15} + q^{17} + 4 q^{19} + O(q^{20}) Copy content Toggle raw display