Properties

Label 4200y
Number of curves $1$
Conductor $4200$
CM no
Rank $1$

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

Elliptic curves in class 4200y

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
4200.r1 4200y1 \([0, 1, 0, -28, 53]\) \(-6288640/567\) \(-226800\) \([]\) \(384\) \(-0.22916\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 4200y1 has rank \(1\).

Complex multiplication

The elliptic curves in class 4200y do not have complex multiplication.

Modular form 4200.2.a.y

sage: E.q_eigenform(10)
 
\(q + q^{3} - q^{7} + q^{9} - 3 q^{11} + 2 q^{13} + 2 q^{19} + O(q^{20})\) Copy content Toggle raw display