Properties

Label 363726.o
Number of curves $1$
Conductor $363726$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("o1")
 
E.isogeny_class()
 

Elliptic curves in class 363726.o

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
363726.o1 363726o1 \([1, -1, 0, 24362178, 372880855540]\) \(33431215187338696125/1275140270480955296\) \(-60992696863264814418700512\) \([]\) \(96768000\) \(3.6276\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 363726.o1 has rank \(1\).

Complex multiplication

The elliptic curves in class 363726.o do not have complex multiplication.

Modular form 363726.2.a.o

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