Properties

Label 215950t
Number of curves $1$
Conductor $215950$
CM no
Rank $0$

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

Elliptic curves in class 215950t

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
215950.j1 215950t1 \([1, -1, 0, -17152567, 28146736341]\) \(-35718324094664888401089/1226817412900798040\) \(-19169022076574969375000\) \([]\) \(19560960\) \(3.0490\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 215950t1 has rank \(0\).

Complex multiplication

The elliptic curves in class 215950t do not have complex multiplication.

Modular form 215950.2.a.t

sage: E.q_eigenform(10)
 
\(q - q^{2} + q^{4} + q^{7} - q^{8} - 3 q^{9} - 6 q^{11} + q^{13} - q^{14} + q^{16} - 2 q^{17} + 3 q^{18} + 5 q^{19} + O(q^{20})\) Copy content Toggle raw display