Properties

Label 19600ef
Number of curves $1$
Conductor $19600$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("ef1")
 
E.isogeny_class()
 

Elliptic curves in class 19600ef

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
19600.j1 19600ef1 \([0, 0, 0, -140875, 22003450]\) \(-1026590625/100352\) \(-30224159866880000\) \([]\) \(304128\) \(1.9032\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 19600ef1 has rank \(0\).

Complex multiplication

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

Modular form 19600.2.a.ef

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