Properties

Label 101400dj
Number of curves $1$
Conductor $101400$
CM no
Rank $1$

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

Elliptic curves in class 101400dj

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
101400.bv1 101400dj1 \([0, 1, 0, -1459033, -678830437]\) \(-17790954496/195\) \(-3764911020000000\) \([]\) \(1935360\) \(2.1429\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 101400dj1 has rank \(1\).

Complex multiplication

The elliptic curves in class 101400dj do not have complex multiplication.

Modular form 101400.2.a.dj

sage: E.q_eigenform(10)
 
\(q + q^{3} - 5 q^{7} + q^{9} - q^{11} + 3 q^{17} - 6 q^{19} + O(q^{20})\) Copy content Toggle raw display