Properties

Label 12096dd
Number of curves $1$
Conductor $12096$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("dd1")
 
E.isogeny_class()
 

Elliptic curves in class 12096dd

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
12096.cx1 12096dd1 \([0, 0, 0, -6, -2]\) \(13824/7\) \(12096\) \([]\) \(768\) \(-0.52409\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 12096dd1 has rank \(0\).

Complex multiplication

The elliptic curves in class 12096dd do not have complex multiplication.

Modular form 12096.2.a.dd

sage: E.q_eigenform(10)
 
\(q + 3 q^{5} + q^{7} - 2 q^{11} + 4 q^{13} + 5 q^{17} + O(q^{20})\) Copy content Toggle raw display