Properties

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

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Show commands: SageMath
E = EllipticCurve("h1")
 
E.isogeny_class()
 

Elliptic curves in class 382200h

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
382200.h1 382200h1 \([0, -1, 0, -12632608, 17382023212]\) \(-59219479733906/382060497\) \(-1438369133169696000000\) \([]\) \(27371520\) \(2.8966\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 382200h1 has rank \(1\).

Complex multiplication

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

Modular form 382200.2.a.h

sage: E.q_eigenform(10)
 
\(q - q^{3} + q^{9} - 5 q^{11} - q^{13} + 3 q^{17} + q^{19} + O(q^{20})\) Copy content Toggle raw display