Properties

Label 10192d
Number of curves $1$
Conductor $10192$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("d1")
 
E.isogeny_class()
 

Elliptic curves in class 10192d

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
10192.v1 10192d1 \([0, 0, 0, -3332, -80948]\) \(-135834624/15379\) \(-463186936576\) \([]\) \(9216\) \(0.97535\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 10192d1 has rank \(0\).

Complex multiplication

The elliptic curves in class 10192d do not have complex multiplication.

Modular form 10192.2.a.d

sage: E.q_eigenform(10)
 
\(q + q^{5} - 3 q^{9} - 2 q^{11} - q^{13} - 7 q^{19} + O(q^{20})\) Copy content Toggle raw display