Properties

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

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Show commands: SageMath
E = EllipticCurve("ja1")
 
E.isogeny_class()
 

Elliptic curves in class 177870ja

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
177870.l1 177870ja1 \([1, 1, 0, -86363, 23802717]\) \(-245209447759969/703125000000\) \(-204272578125000000\) \([]\) \(2156544\) \(2.0086\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 177870ja1 has rank \(0\).

Complex multiplication

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

Modular form 177870.2.a.ja

sage: E.q_eigenform(10)
 
\(q - q^{2} - q^{3} + q^{4} - q^{5} + q^{6} - q^{8} + q^{9} + q^{10} - q^{12} + q^{15} + q^{16} - 6 q^{17} - q^{18} + O(q^{20})\) Copy content Toggle raw display