Properties

Label 240149p
Number of curves $1$
Conductor $240149$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("p1")
 
E.isogeny_class()
 

Elliptic curves in class 240149p

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
240149.p1 240149p1 \([1, 0, 1, -173, 1366705]\) \(-1/1421\) \(-806942207150261\) \([]\) \(787968\) \(1.5392\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 240149p1 has rank \(1\).

Complex multiplication

The elliptic curves in class 240149p do not have complex multiplication.

Modular form 240149.2.a.p

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