Properties

Label 177450ii
Number of curves $1$
Conductor $177450$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("ii1")
 
E.isogeny_class()
 

Elliptic curves in class 177450ii

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
177450.t1 177450ii1 \([1, 1, 0, -26598575, -52848142875]\) \(-1103770289367265/891813888\) \(-1681490351923200000000\) \([]\) \(20109600\) \(3.0024\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 177450ii1 has rank \(0\).

Complex multiplication

The elliptic curves in class 177450ii do not have complex multiplication.

Modular form 177450.2.a.ii

sage: E.q_eigenform(10)
 
\(q - q^{2} - q^{3} + q^{4} + q^{6} - q^{7} - q^{8} + q^{9} + 2 q^{11} - q^{12} + q^{14} + q^{16} - 7 q^{17} - q^{18} - 8 q^{19} + O(q^{20})\) Copy content Toggle raw display