Properties

Label 274890.bl
Number of curves $1$
Conductor $274890$
CM no
Rank $1$

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

Elliptic curves in class 274890.bl

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
274890.bl1 274890bl1 \([1, 1, 0, -4504987, 9980593309]\) \(-85944135790429956649/316171526414008320\) \(-37197263911081664839680\) \([]\) \(24235200\) \(3.0166\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 274890.bl1 has rank \(1\).

Complex multiplication

The elliptic curves in class 274890.bl do not have complex multiplication.

Modular form 274890.2.a.bl

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