Properties

Label 301392.dj
Number of curves $1$
Conductor $301392$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("dj1")
 
E.isogeny_class()
 

Elliptic curves in class 301392.dj

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
301392.dj1 301392dj1 \([0, 0, 0, -9876, 568748]\) \(-570820369408/418447211\) \(-78092292305664\) \([]\) \(844800\) \(1.3652\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 301392.dj1 has rank \(1\).

Complex multiplication

The elliptic curves in class 301392.dj do not have complex multiplication.

Modular form 301392.2.a.dj

sage: E.q_eigenform(10)
 
\(q + 3 q^{5} + q^{7} - 5 q^{11} + q^{13} + 4 q^{17} - 5 q^{19} + O(q^{20})\) Copy content Toggle raw display