Properties

Label 254898b
Number of curves $1$
Conductor $254898$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("b1")
 
E.isogeny_class()
 

Elliptic curves in class 254898b

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
254898.b1 254898b1 \([1, -1, 0, -152431659, -724332491051]\) \(654699641761/112\) \(67007769556163112432\) \([]\) \(49351680\) \(3.2029\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 254898b1 has rank \(0\).

Complex multiplication

The elliptic curves in class 254898b do not have complex multiplication.

Modular form 254898.2.a.b

sage: E.q_eigenform(10)
 
\(q - q^{2} + q^{4} - 4 q^{5} - q^{8} + 4 q^{10} + 2 q^{13} + q^{16} - 3 q^{19} + O(q^{20})\) Copy content Toggle raw display