Properties

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

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

Elliptic curves in class 980.i

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
980.i1 980h1 \([0, 0, 0, -7, 14]\) \(-3024/5\) \(-62720\) \([]\) \(144\) \(-0.38859\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

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

Complex multiplication

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

Modular form 980.2.a.i

sage: E.q_eigenform(10)
 
\(q + 3 q^{3} + q^{5} + 6 q^{9} - 2 q^{11} + 6 q^{13} + 3 q^{15} - 2 q^{17} + O(q^{20})\)  Toggle raw display