Properties

Label 363090i
Number of curves $1$
Conductor $363090$
CM no
Rank $0$

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

Elliptic curves in class 363090i

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
363090.i1 363090i1 \([1, 1, 0, -6213, -135603]\) \(541428245557801/157341450240\) \(7709731061760\) \([]\) \(930240\) \(1.1789\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 363090i1 has rank \(0\).

Complex multiplication

The elliptic curves in class 363090i do not have complex multiplication.

Modular form 363090.2.a.i

sage: E.q_eigenform(10)
 
\(q - q^{2} - q^{3} + q^{4} - q^{5} + q^{6} - q^{8} + q^{9} + q^{10} - 2 q^{11} - q^{12} + q^{13} + q^{15} + q^{16} + 3 q^{17} - q^{18} + q^{19} + O(q^{20})\) Copy content Toggle raw display