Properties

Label 70560.u
Number of curves $1$
Conductor $70560$
CM no
Rank $2$

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

Elliptic curves in class 70560.u

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
70560.u1 70560f1 \([0, 0, 0, -168, 1008]\) \(-96768/25\) \(-135475200\) \([]\) \(18432\) \(0.27753\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 70560.u1 has rank \(2\).

Complex multiplication

The elliptic curves in class 70560.u do not have complex multiplication.

Modular form 70560.2.a.u

sage: E.q_eigenform(10)
 
\(q - q^{5} - 2 q^{11} + q^{13} - 7 q^{19} + O(q^{20})\) Copy content Toggle raw display