Properties

Label 49725y
Number of curves $1$
Conductor $49725$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("y1")
 
E.isogeny_class()
 

Elliptic curves in class 49725y

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
49725.p1 49725y1 \([0, 0, 1, -300, -194]\) \(6553600/3757\) \(1711783125\) \([]\) \(14400\) \(0.46141\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 49725y1 has rank \(1\).

Complex multiplication

The elliptic curves in class 49725y do not have complex multiplication.

Modular form 49725.2.a.y

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