Properties

Label 121680.o
Number of curves $1$
Conductor $121680$
CM no
Rank $1$

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

Elliptic curves in class 121680.o

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
121680.o1 121680dx1 \([0, 0, 0, -19773, 771147]\) \(89856/25\) \(237867078243600\) \([]\) \(419328\) \(1.4658\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 121680.o1 has rank \(1\).

Complex multiplication

The elliptic curves in class 121680.o do not have complex multiplication.

Modular form 121680.2.a.o

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