Properties

Label 70560t
Number of curves $1$
Conductor $70560$
CM no
Rank $0$

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

Elliptic curves in class 70560t

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
70560.m1 70560t1 \([0, 0, 0, -1612443, -788099438]\) \(-215474070728/3645\) \(-7842948117096960\) \([]\) \(709632\) \(2.1799\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 70560t1 has rank \(0\).

Complex multiplication

The elliptic curves in class 70560t do not have complex multiplication.

Modular form 70560.2.a.t

sage: E.q_eigenform(10)
 
\(q - q^{5} - 3 q^{11} - q^{13} - 4 q^{17} + q^{19} + O(q^{20})\) Copy content Toggle raw display