Properties

Label 6960.u
Number of curves $1$
Conductor $6960$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("u1")
 
E.isogeny_class()
 

Elliptic curves in class 6960.u

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
6960.u1 6960bd1 \([0, -1, 0, -190, -1025]\) \(-47659369216/4404375\) \(-70470000\) \([]\) \(1920\) \(0.24839\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 6960.u1 has rank \(0\).

Complex multiplication

The elliptic curves in class 6960.u do not have complex multiplication.

Modular form 6960.2.a.u

sage: E.q_eigenform(10)
 
\(q - q^{3} + q^{5} + 3 q^{7} + q^{9} + 3 q^{11} + q^{13} - q^{15} - 3 q^{17} + 6 q^{19} + O(q^{20})\) Copy content Toggle raw display