Properties

Label 19600ee
Number of curves $1$
Conductor $19600$
CM no
Rank $2$

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Show commands: SageMath
E = EllipticCurve("ee1")
 
E.isogeny_class()
 

Elliptic curves in class 19600ee

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
19600.a1 19600ee1 \([0, 0, 0, -1960, 34300]\) \(-221184/7\) \(-26353376000\) \([]\) \(27648\) \(0.77577\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 19600ee1 has rank \(2\).

Complex multiplication

The elliptic curves in class 19600ee do not have complex multiplication.

Modular form 19600.2.a.ee

sage: E.q_eigenform(10)
 
\(q - 3 q^{3} + 6 q^{9} - 3 q^{11} + q^{13} - 5 q^{17} - 8 q^{19} + O(q^{20})\) Copy content Toggle raw display