Properties

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

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Show commands: SageMath
E = EllipticCurve("v1")
 
E.isogeny_class()
 

Elliptic curves in class 9800.v

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
9800.v1 9800z1 \([0, 0, 0, 30625, -3215625]\) \(172800/343\) \(-6305251093750000\) \([]\) \(34560\) \(1.7162\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 9800.v1 has rank \(1\).

Complex multiplication

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

Modular form 9800.2.a.v

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