Properties

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

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Show commands: SageMath
E = EllipticCurve("r1")
 
E.isogeny_class()
 

Elliptic curves in class 361998.r

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
361998.r1 361998r1 \([1, -1, 0, -558, 10804]\) \(-156116857/308448\) \(-38001102048\) \([]\) \(368640\) \(0.71956\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 361998.r1 has rank \(0\).

Complex multiplication

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

Modular form 361998.2.a.r

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