Properties

Label 68400.t
Number of curves $1$
Conductor $68400$
CM no
Rank $0$

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

Elliptic curves in class 68400.t

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
68400.t1 68400n1 \([0, 0, 0, -16875, -759375]\) \(172800/19\) \(58433906250000\) \([]\) \(161280\) \(1.3750\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 68400.t1 has rank \(0\).

Complex multiplication

The elliptic curves in class 68400.t do not have complex multiplication.

Modular form 68400.2.a.t

sage: E.q_eigenform(10)
 
\(q - 3 q^{7} - 2 q^{11} - 6 q^{17} + q^{19} + O(q^{20})\) Copy content Toggle raw display