Properties

Label 200400.v
Number of curves $1$
Conductor $200400$
CM no
Rank $1$

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

Elliptic curves in class 200400.v

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
200400.v1 200400cw1 \([0, -1, 0, 52, -1008]\) \(476656/13527\) \(-432864000\) \([]\) \(73728\) \(0.33724\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 200400.v1 has rank \(1\).

Complex multiplication

The elliptic curves in class 200400.v do not have complex multiplication.

Modular form 200400.2.a.v

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