Properties

Label 338100t
Number of curves $1$
Conductor $338100$
CM no
Rank $0$

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

Elliptic curves in class 338100t

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
338100.t1 338100t1 \([0, -1, 0, -1966533, -1269084438]\) \(-583583924224/145546875\) \(-209762192636718750000\) \([]\) \(10160640\) \(2.6173\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 338100t1 has rank \(0\).

Complex multiplication

The elliptic curves in class 338100t do not have complex multiplication.

Modular form 338100.2.a.t

sage: E.q_eigenform(10)
 
\(q - q^{3} + q^{9} - 2 q^{11} - 2 q^{13} + 3 q^{17} + 2 q^{19} + O(q^{20})\) Copy content Toggle raw display