Properties

Label 487025y
Number of curves $1$
Conductor $487025$
CM no
Rank $1$

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

Elliptic curves in class 487025y

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
487025.y1 487025y1 \([0, -1, 1, -41543, -3245562]\) \(-35806478336/3703\) \(-820011297875\) \([]\) \(777920\) \(1.3186\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 487025y1 has rank \(1\).

Complex multiplication

The elliptic curves in class 487025y do not have complex multiplication.

Modular form 487025.2.a.y

sage: E.q_eigenform(10)
 
\(q - q^{3} - 2 q^{4} - q^{7} - 2 q^{9} + 2 q^{12} + q^{13} + 4 q^{16} + q^{17} - 2 q^{19} + O(q^{20})\) Copy content Toggle raw display