Properties

Label 177870.o
Number of curves $1$
Conductor $177870$
CM no
Rank $0$

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

Elliptic curves in class 177870.o

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
177870.o1 177870jb1 \([1, 1, 0, -25939498, 51402052948]\) \(-3750375890337769/48318382080\) \(-24868295828872605204480\) \([]\) \(20908800\) \(3.1064\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 177870.o1 has rank \(0\).

Complex multiplication

The elliptic curves in class 177870.o do not have complex multiplication.

Modular form 177870.2.a.o

sage: E.q_eigenform(10)
 
\(q - q^{2} - q^{3} + q^{4} - q^{5} + q^{6} - q^{8} + q^{9} + q^{10} - q^{12} + q^{15} + q^{16} - q^{18} + 6 q^{19} + O(q^{20})\) Copy content Toggle raw display