Properties

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

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Show commands: SageMath
E = EllipticCurve("i1")
 
E.isogeny_class()
 

Elliptic curves in class 4200i

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
4200.f1 4200i1 \([0, -1, 0, -708, 8037]\) \(-6288640/567\) \(-3543750000\) \([]\) \(1920\) \(0.57556\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 4200i1 has rank \(1\).

Complex multiplication

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

Modular form 4200.2.a.i

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