Properties

Label 1856.o
Number of curves $1$
Conductor $1856$
CM no
Rank $0$

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

Elliptic curves in class 1856.o

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
1856.o1 1856g1 \([0, 0, 0, -19324, -1033936]\) \(-48707390098512/29\) \(-475136\) \([]\) \(3840\) \(0.84737\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 1856.o1 has rank \(0\).

Complex multiplication

The elliptic curves in class 1856.o do not have complex multiplication.

Modular form 1856.2.a.o

sage: E.q_eigenform(10)
 
\(q + 3 q^{3} - 3 q^{5} + 4 q^{7} + 6 q^{9} + q^{11} + 3 q^{13} - 9 q^{15} + 2 q^{17} - 4 q^{19} + O(q^{20})\) Copy content Toggle raw display