Properties

Label 468270.y
Number of curves $1$
Conductor $468270$
CM no
Rank $1$

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

Elliptic curves in class 468270.y

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
468270.y1 468270y1 \([1, -1, 0, 137010, 279379700]\) \(986998959837/117606754400\) \(-33891773707706983200\) \([]\) \(14515200\) \(2.4268\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 468270.y1 has rank \(1\).

Complex multiplication

The elliptic curves in class 468270.y do not have complex multiplication.

Modular form 468270.2.a.y

sage: E.q_eigenform(10)
 
\(q - q^{2} + q^{4} - q^{5} + 3 q^{7} - q^{8} + q^{10} + 2 q^{13} - 3 q^{14} + q^{16} - 4 q^{17} + O(q^{20})\) Copy content Toggle raw display