Properties

Label 357390t
Number of curves $1$
Conductor $357390$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("t1")
 
E.isogeny_class()
 

Elliptic curves in class 357390t

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
357390.t1 357390t1 \([1, -1, 0, -3110985, -8085481475]\) \(-268943595121/2125873200\) \(-26320473200332480474800\) \([]\) \(28366848\) \(2.9849\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 357390t1 has rank \(1\).

Complex multiplication

The elliptic curves in class 357390t do not have complex multiplication.

Modular form 357390.2.a.t

sage: E.q_eigenform(10)
 
\(q - q^{2} + q^{4} - q^{5} + q^{7} - q^{8} + q^{10} + q^{11} - 3 q^{13} - q^{14} + q^{16} - 2 q^{17} + O(q^{20})\) Copy content Toggle raw display