Properties

Label 361998.i
Number of curves $1$
Conductor $361998$
CM no
Rank $0$

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

Elliptic curves in class 361998.i

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
361998.i1 361998i1 \([1, -1, 0, -12453, -77843531]\) \(-1638858339/20087188576\) \(-2617839610290017568\) \([]\) \(5644800\) \(2.2130\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 361998.i1 has rank \(0\).

Complex multiplication

The elliptic curves in class 361998.i do not have complex multiplication.

Modular form 361998.2.a.i

sage: E.q_eigenform(10)
 
\(q - q^{2} + q^{4} - 2 q^{5} - q^{7} - q^{8} + 2 q^{10} + 2 q^{11} + q^{14} + q^{16} + q^{17} + 3 q^{19} + O(q^{20})\) Copy content Toggle raw display