Properties

Label 279174.ba
Number of curves $1$
Conductor $279174$
CM no
Rank $2$

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Show commands: SageMath
E = EllipticCurve("ba1")
 
E.isogeny_class()
 

Elliptic curves in class 279174.ba

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
279174.ba1 279174ba1 \([1, 0, 1, 72218, -7563010]\) \(144135475374099527/169049655861534\) \(-48855350543983326\) \([]\) \(2799360\) \(1.8886\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 279174.ba1 has rank \(2\).

Complex multiplication

The elliptic curves in class 279174.ba do not have complex multiplication.

Modular form 279174.2.a.ba

sage: E.q_eigenform(10)
 
\(q - q^{2} + q^{3} + q^{4} - 2 q^{5} - q^{6} + q^{7} - q^{8} + q^{9} + 2 q^{10} - 3 q^{11} + q^{12} - 6 q^{13} - q^{14} - 2 q^{15} + q^{16} - q^{18} + q^{19} + O(q^{20})\) Copy content Toggle raw display