Properties

Label 361998c
Number of curves $1$
Conductor $361998$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("c1")
 
E.isogeny_class()
 

Elliptic curves in class 361998c

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
361998.c1 361998c1 \([1, -1, 0, -5509386, 4978782706]\) \(-11547175712678159581/2268037422\) \(-3632518219561686\) \([]\) \(14837760\) \(2.3759\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 361998c1 has rank \(1\).

Complex multiplication

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

Modular form 361998.2.a.c

sage: E.q_eigenform(10)
 
\(q - q^{2} + q^{4} - 3 q^{5} + q^{7} - q^{8} + 3 q^{10} + 6 q^{11} - q^{14} + q^{16} + q^{17} - 6 q^{19} + O(q^{20})\) Copy content Toggle raw display