Properties

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

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Show commands: SageMath
E = EllipticCurve("it1")
 
E.isogeny_class()
 

Elliptic curves in class 348480.it

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
348480.it1 348480it1 \([0, 0, 0, 2772, -52272]\) \(9261/10\) \(-2543580610560\) \([]\) \(645120\) \(1.0670\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 348480.it1 has rank \(1\).

Complex multiplication

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

Modular form 348480.2.a.it

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