Properties

Label 388080.hh
Number of curves $1$
Conductor $388080$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("hh1")
 
E.isogeny_class()
 

Elliptic curves in class 388080.hh

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
388080.hh1 388080hh1 \([0, 0, 0, -601923, -179744222]\) \(329680277223458/4026275\) \(294548621875200\) \([]\) \(3110400\) \(1.9246\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 388080.hh1 has rank \(0\).

Complex multiplication

The elliptic curves in class 388080.hh do not have complex multiplication.

Modular form 388080.2.a.hh

sage: E.q_eigenform(10)
 
\(q - q^{5} + q^{11} + 5 q^{13} + 4 q^{17} - 2 q^{19} + O(q^{20})\) Copy content Toggle raw display