Properties

Label 4200.v
Number of curves $1$
Conductor $4200$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("v1")
 
E.isogeny_class()
 

Elliptic curves in class 4200.v

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
4200.v1 4200bd1 \([0, 1, 0, 4941792, 7363325088]\) \(16683494528422270/38919722282469\) \(-31135777825975200000000\) \([]\) \(332640\) \(3.0001\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 4200.v1 has rank \(0\).

Complex multiplication

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

Modular form 4200.2.a.v

sage: E.q_eigenform(10)
 
\(q + q^{3} - q^{7} + q^{9} + 2 q^{11} - 3 q^{13} - 5 q^{17} + 4 q^{19} + O(q^{20})\) Copy content Toggle raw display