Properties

Label 284592t
Number of curves $1$
Conductor $284592$
CM no
Rank $1$

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

Elliptic curves in class 284592t

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
284592.t1 284592t1 \([0, -1, 0, 11239408, -34592478864]\) \(50250332/194481\) \(-607704185118189826630656\) \([]\) \(32440320\) \(3.2464\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 284592t1 has rank \(1\).

Complex multiplication

The elliptic curves in class 284592t do not have complex multiplication.

Modular form 284592.2.a.t

sage: E.q_eigenform(10)
 
\(q - q^{3} - 3 q^{5} + q^{9} - q^{13} + 3 q^{15} - 5 q^{17} - 4 q^{19} + O(q^{20})\) Copy content Toggle raw display