Properties

Label 382200dz
Number of curves $1$
Conductor $382200$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("dz1")
 
E.isogeny_class()
 

Elliptic curves in class 382200dz

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
382200.dz1 382200dz1 \([0, -1, 0, 5717, 787312]\) \(14336/195\) \(-281034048750000\) \([]\) \(1451520\) \(1.4532\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 382200dz1 has rank \(1\).

Complex multiplication

The elliptic curves in class 382200dz do not have complex multiplication.

Modular form 382200.2.a.dz

sage: E.q_eigenform(10)
 
\(q - q^{3} + q^{9} + 3 q^{11} - q^{13} + 3 q^{17} - 8 q^{19} + O(q^{20})\) Copy content Toggle raw display