Properties

Label 333270.bl
Number of curves $1$
Conductor $333270$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("bl1")
 
E.isogeny_class()
 

Elliptic curves in class 333270.bl

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
333270.bl1 333270bl1 \([1, -1, 0, 144710496, 8128722777088]\) \(5870479694885951/503411103498240\) \(-28739089627413784741816565760\) \([]\) \(320495616\) \(4.1402\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 333270.bl1 has rank \(0\).

Complex multiplication

The elliptic curves in class 333270.bl do not have complex multiplication.

Modular form 333270.2.a.bl

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