Properties

Label 112896ed
Number of curves $1$
Conductor $112896$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("ed1")
 
E.isogeny_class()
 

Elliptic curves in class 112896ed

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
112896.j1 112896ed1 \([0, 0, 0, 14406, -537824]\) \(3136/3\) \(-316299965216256\) \([]\) \(430080\) \(1.4694\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 112896ed1 has rank \(0\).

Complex multiplication

The elliptic curves in class 112896ed do not have complex multiplication.

Modular form 112896.2.a.ed

sage: E.q_eigenform(10)
 
\(q - 3 q^{5} + 3 q^{11} + 6 q^{13} - 2 q^{17} + 2 q^{19} + O(q^{20})\) Copy content Toggle raw display