Properties

Label 388080ot
Number of curves $1$
Conductor $388080$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("ot1")
 
E.isogeny_class()
 

Elliptic curves in class 388080ot

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
388080.ot1 388080ot1 \([0, 0, 0, 444528, 56269836]\) \(47775744/34375\) \(-6989664409912800000\) \([]\) \(6451200\) \(2.3043\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 388080ot1 has rank \(1\).

Complex multiplication

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

Modular form 388080.2.a.ot

sage: E.q_eigenform(10)
 
\(q + q^{5} + q^{11} + 6 q^{13} - 5 q^{17} + q^{19} + O(q^{20})\) Copy content Toggle raw display