Properties

Label 9800.e
Number of curves $1$
Conductor $9800$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("e1")
 
E.isogeny_class()
 

Elliptic curves in class 9800.e

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
9800.e1 9800bk1 \([0, 1, 0, 12, 13]\) \(1280\) \(-137200\) \([]\) \(768\) \(-0.32623\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 9800.e1 has rank \(1\).

Complex multiplication

The elliptic curves in class 9800.e do not have complex multiplication.

Modular form 9800.2.a.e

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