Properties

Label 70805d
Number of curves $1$
Conductor $70805$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("d1")
 
E.isogeny_class()
 

Elliptic curves in class 70805d

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
70805.bb1 70805d1 \([0, 0, 1, -962948, 365258213]\) \(-7077888/35\) \(-488311077869844355\) \([]\) \(783360\) \(2.2420\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 70805d1 has rank \(0\).

Complex multiplication

The elliptic curves in class 70805d do not have complex multiplication.

Modular form 70805.2.a.d

sage: E.q_eigenform(10)
 
\(q - 2 q^{4} - q^{5} - 3 q^{9} - 2 q^{11} + 5 q^{13} + 4 q^{16} - 4 q^{19} + O(q^{20})\) Copy content Toggle raw display