Properties

Label 39600.s
Number of curves $1$
Conductor $39600$
CM no
Rank $2$

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Show commands: SageMath
E = EllipticCurve("s1")
 
E.isogeny_class()
 

Elliptic curves in class 39600.s

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
39600.s1 39600cu1 \([0, 0, 0, -18000, 977500]\) \(-238878720/14641\) \(-39530700000000\) \([]\) \(115200\) \(1.3636\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 39600.s1 has rank \(2\).

Complex multiplication

The elliptic curves in class 39600.s do not have complex multiplication.

Modular form 39600.2.a.s

sage: E.q_eigenform(10)
 
\(q - 3 q^{7} + q^{11} - 3 q^{13} - 8 q^{17} - 5 q^{19} + O(q^{20})\) Copy content Toggle raw display