Properties

Label 355740i
Number of curves $1$
Conductor $355740$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("i1")
 
E.isogeny_class()
 

Elliptic curves in class 355740i

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
355740.i1 355740i1 \([0, -1, 0, -557146, -177150455]\) \(-155793446144/20503125\) \(-2517111290474550000\) \([]\) \(5806080\) \(2.2637\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 355740i1 has rank \(0\).

Complex multiplication

The elliptic curves in class 355740i do not have complex multiplication.

Modular form 355740.2.a.i

sage: E.q_eigenform(10)
 
\(q - q^{3} - q^{5} + q^{9} - q^{13} + q^{15} + 2 q^{17} - 2 q^{19} + O(q^{20})\) Copy content Toggle raw display