Properties

Label 348480.a
Number of curves $1$
Conductor $348480$
CM no
Rank $2$

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Show commands: SageMath
E = EllipticCurve("a1")
 
E.isogeny_class()
 

Elliptic curves in class 348480.a

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
348480.a1 348480a1 \([0, 0, 0, 2772, 52272]\) \(9261/10\) \(-2543580610560\) \([]\) \(645120\) \(1.0670\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 348480.a1 has rank \(2\).

Complex multiplication

The elliptic curves in class 348480.a do not have complex multiplication.

Modular form 348480.2.a.a

sage: E.q_eigenform(10)
 
\(q - q^{5} - 5 q^{7} - 4 q^{13} + q^{17} - 5 q^{19} + O(q^{20})\) Copy content Toggle raw display