Properties

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

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Show commands: SageMath
E = EllipticCurve("p1")
 
E.isogeny_class()
 

Elliptic curves in class 200400.p

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
200400.p1 200400dd1 \([0, -1, 0, 1717, 14562]\) \(2237904896/1690875\) \(-422718750000\) \([]\) \(184320\) \(0.91899\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 200400.p1 has rank \(1\).

Complex multiplication

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

Modular form 200400.2.a.p

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