Properties

Label 299200du
Number of curves $1$
Conductor $299200$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("du1")
 
E.isogeny_class()
 

Elliptic curves in class 299200du

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
299200.du1 299200du1 \([0, -1, 0, 7967, 343937]\) \(13651919/20570\) \(-84254720000000\) \([]\) \(589824\) \(1.3574\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 299200du1 has rank \(0\).

Complex multiplication

The elliptic curves in class 299200du do not have complex multiplication.

Modular form 299200.2.a.du

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