Properties

Label 155298ba
Number of curves $1$
Conductor $155298$
CM no
Rank $0$

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

Elliptic curves in class 155298ba

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
155298.o1 155298ba1 \([1, 0, 1, 26, -3016]\) \(2053225511/3935872512\) \(-3935872512\) \([]\) \(141696\) \(0.52008\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 155298ba1 has rank \(0\).

Complex multiplication

The elliptic curves in class 155298ba do not have complex multiplication.

Modular form 155298.2.a.ba

sage: E.q_eigenform(10)
 
\(q - q^{2} + q^{3} + q^{4} + 4 q^{5} - q^{6} - q^{7} - q^{8} + q^{9} - 4 q^{10} - q^{11} + q^{12} + q^{13} + q^{14} + 4 q^{15} + q^{16} + 2 q^{17} - q^{18} + 4 q^{19} + O(q^{20})\) Copy content Toggle raw display