Properties

Label 203522.i
Number of curves $1$
Conductor $203522$
CM no
Rank $0$

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

Elliptic curves in class 203522.i

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
203522.i1 203522r1 \([1, -1, 0, -120841, -23301679]\) \(-185193/116\) \(-122236832495393396\) \([]\) \(4804800\) \(1.9804\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 203522.i1 has rank \(0\).

Complex multiplication

The elliptic curves in class 203522.i do not have complex multiplication.

Modular form 203522.2.a.i

sage: E.q_eigenform(10)
 
\(q - q^{2} + 3 q^{3} + q^{4} - 3 q^{5} - 3 q^{6} + 2 q^{7} - q^{8} + 6 q^{9} + 3 q^{10} + 3 q^{12} - 3 q^{13} - 2 q^{14} - 9 q^{15} + q^{16} - 4 q^{17} - 6 q^{18} - 8 q^{19} + O(q^{20})\) Copy content Toggle raw display