Properties

Label 1960e
Number of curves $1$
Conductor $1960$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("e1")
 
E.isogeny_class()
 

Elliptic curves in class 1960e

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
1960.l1 1960e1 \([0, 1, 0, 40, 608]\) \(137564/3125\) \(-156800000\) \([]\) \(480\) \(0.25279\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 1960e1 has rank \(1\).

Complex multiplication

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

Modular form 1960.2.a.e

sage: E.q_eigenform(10)
 
\(q + q^{3} + q^{5} - 2 q^{9} - 2 q^{11} - 4 q^{13} + q^{15} - 6 q^{19} + O(q^{20})\) Copy content Toggle raw display