Properties

Label 6936.f
Number of curves $1$
Conductor $6936$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("f1")
 
E.isogeny_class()
 

Elliptic curves in class 6936.f

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
6936.f1 6936a1 \([0, -1, 0, -368, 2844]\) \(-18674500/3\) \(-887808\) \([]\) \(1440\) \(0.15107\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 6936.f1 has rank \(1\).

Complex multiplication

The elliptic curves in class 6936.f do not have complex multiplication.

Modular form 6936.2.a.f

sage: E.q_eigenform(10)
 
\(q - q^{3} + q^{7} + q^{9} - 4 q^{11} - 5 q^{13} + 5 q^{19} + O(q^{20})\) Copy content Toggle raw display