Properties

Label 9800m
Number of curves $1$
Conductor $9800$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("m1")
 
E.isogeny_class()
 

Elliptic curves in class 9800m

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
9800.bp1 9800m1 \([0, 0, 0, -175, 875]\) \(48384\) \(12250000\) \([]\) \(3360\) \(0.15036\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 9800m1 has rank \(0\).

Complex multiplication

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

Modular form 9800.2.a.m

sage: E.q_eigenform(10)
 
\(q + 3 q^{3} + 6 q^{9} - q^{11} + 2 q^{13} + 3 q^{17} - 5 q^{19} + O(q^{20})\) Copy content Toggle raw display