Properties

Label 236992.d
Number of curves $1$
Conductor $236992$
CM no
Rank $1$

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

Elliptic curves in class 236992.d

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
236992.d1 236992d1 \([0, 0, 0, -243340, -49252016]\) \(-621000/49\) \(-125738623918702592\) \([]\) \(4733952\) \(2.0281\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 236992.d1 has rank \(1\).

Complex multiplication

The elliptic curves in class 236992.d do not have complex multiplication.

Modular form 236992.2.a.d

sage: E.q_eigenform(10)
 
\(q - 3q^{3} + q^{7} + 6q^{9} - 6q^{13} + 7q^{17} + 5q^{19} + O(q^{20})\)  Toggle raw display