Properties

Label 1960.j
Number of curves $1$
Conductor $1960$
CM no
Rank $0$

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Show commands: SageMath
sage: E = EllipticCurve("j1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 1960.j

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
1960.j1 1960c1 \([0, 1, 0, 10519, -1298725]\) \(12459008/78125\) \(-807072140000000\) \([]\) \(6272\) \(1.5422\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 1960.j1 has rank \(0\).

Complex multiplication

The elliptic curves in class 1960.j do not have complex multiplication.

Modular form 1960.2.a.j

sage: E.q_eigenform(10)
 
\(q + q^{3} - q^{5} - 2 q^{9} + 3 q^{11} - q^{13} - q^{15} + 5 q^{17} + 6 q^{19} + O(q^{20})\)  Toggle raw display