Properties

Label 299538.m
Number of curves $1$
Conductor $299538$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("m1")
 
E.isogeny_class()
 

Elliptic curves in class 299538.m

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
299538.m1 299538m1 \([1, -1, 0, -26340, -1608112]\) \(47832147/1024\) \(43267358297088\) \([]\) \(1235520\) \(1.4055\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 299538.m1 has rank \(1\).

Complex multiplication

The elliptic curves in class 299538.m do not have complex multiplication.

Modular form 299538.2.a.m

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