Properties

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

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Show commands: SageMath
E = EllipticCurve("t1")
 
E.isogeny_class()
 

Elliptic curves in class 4200t

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
4200.b1 4200t1 \([0, -1, 0, -1708, 82537]\) \(-88218880/413343\) \(-2583393750000\) \([]\) \(4800\) \(1.0663\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 4200t1 has rank \(1\).

Complex multiplication

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

Modular form 4200.2.a.t

sage: E.q_eigenform(10)
 
\(q - q^{3} - q^{7} + q^{9} - q^{11} + 4 q^{13} + 2 q^{17} - 4 q^{19} + O(q^{20})\) Copy content Toggle raw display