Properties

Label 224400.t
Number of curves $1$
Conductor $224400$
CM no
Rank $0$

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

Elliptic curves in class 224400.t

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
224400.t1 224400dg1 \([0, -1, 0, -3873891733, -92803658809763]\) \(-2511459527130857919761612800/12111433867831505427\) \(-31005270701648653893120000\) \([]\) \(127733760\) \(4.0921\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 224400.t1 has rank \(0\).

Complex multiplication

The elliptic curves in class 224400.t do not have complex multiplication.

Modular form 224400.2.a.t

sage: E.q_eigenform(10)
 
\(q - q^{3} - 3 q^{7} + q^{9} - q^{11} + 3 q^{13} + q^{17} + 3 q^{19} + O(q^{20})\) Copy content Toggle raw display