Properties

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

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Show commands: SageMath
E = EllipticCurve("ej1")
 
E.isogeny_class()
 

Elliptic curves in class 39600.ej

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
39600.ej1 39600cm1 \([0, 0, 0, -75, -1350]\) \(-675/11\) \(-760320000\) \([]\) \(12288\) \(0.38537\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 39600.ej1 has rank \(1\).

Complex multiplication

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

Modular form 39600.2.a.ej

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