Properties

Label 445280t
Number of curves $1$
Conductor $445280$
CM no
Rank $0$

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

Elliptic curves in class 445280t

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
445280.t1 445280t1 \([0, 0, 0, -3590312, -7994965616]\) \(-705349276356096/3397216796875\) \(-24651271315000000000000\) \([]\) \(29952000\) \(2.9811\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 445280t1 has rank \(0\).

Complex multiplication

The elliptic curves in class 445280t do not have complex multiplication.

Modular form 445280.2.a.t

sage: E.q_eigenform(10)
 
\(q + q^{5} - 3 q^{7} - 3 q^{9} + 6 q^{13} + 3 q^{17} + O(q^{20})\) Copy content Toggle raw display