Properties

Label 70805.bc
Number of curves $1$
Conductor $70805$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("bc1")
 
E.isogeny_class()
 

Elliptic curves in class 70805.bc

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
70805.bc1 70805bd1 \([0, 0, 1, -3332, 74345]\) \(-7077888/35\) \(-20230333795\) \([]\) \(46080\) \(0.82542\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 70805.bc1 has rank \(1\).

Complex multiplication

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

Modular form 70805.2.a.bc

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