Properties

Label 980i
Number of curves $1$
Conductor $980$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("i1")
 
E.isogeny_class()
 

Elliptic curves in class 980i

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
980.b1 980i1 \([0, 0, 0, 1568, -72716]\) \(14155776/84035\) \(-2530978231040\) \([]\) \(2880\) \(1.0619\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 980i1 has rank \(0\).

Complex multiplication

The elliptic curves in class 980i do not have complex multiplication.

Modular form 980.2.a.i

sage: E.q_eigenform(10)
 
\(q - 3 q^{3} + q^{5} + 6 q^{9} - 5 q^{11} + 3 q^{13} - 3 q^{15} + q^{17} - 6 q^{19} + O(q^{20})\) Copy content Toggle raw display