Properties

Label 7056u
Number of curves $1$
Conductor $7056$
CM no
Rank $1$

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

Elliptic curves in class 7056u

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
7056.u1 7056u1 \([0, 0, 0, -7203, -218491]\) \(12544\) \(3294791304336\) \([]\) \(10080\) \(1.1454\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 7056u1 has rank \(1\).

Complex multiplication

The elliptic curves in class 7056u do not have complex multiplication.

Modular form 7056.2.a.u

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