Properties

Label 388815.cd
Number of curves $1$
Conductor $388815$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("cd1")
 
E.isogeny_class()
 

Elliptic curves in class 388815.cd

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
388815.cd1 388815cd1 \([0, 1, 1, 10519, 1403000]\) \(262144/1875\) \(-920591880691875\) \([]\) \(2107392\) \(1.5529\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 388815.cd1 has rank \(0\).

Complex multiplication

The elliptic curves in class 388815.cd do not have complex multiplication.

Modular form 388815.2.a.cd

sage: E.q_eigenform(10)
 
\(q + q^{3} - 2 q^{4} - q^{5} + q^{9} - 5 q^{11} - 2 q^{12} + 2 q^{13} - q^{15} + 4 q^{16} + 8 q^{17} + 7 q^{19} + O(q^{20})\) Copy content Toggle raw display