Properties

Label 75712.bl
Number of curves $1$
Conductor $75712$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("bl1")
 
E.isogeny_class()
 

Elliptic curves in class 75712.bl

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
75712.bl1 75712bo1 \([0, 0, 0, -4394, 742586]\) \(-13824/343\) \(-232789970236096\) \([]\) \(179712\) \(1.4374\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 75712.bl1 has rank \(1\).

Complex multiplication

The elliptic curves in class 75712.bl do not have complex multiplication.

Modular form 75712.2.a.bl

sage: E.q_eigenform(10)
 
\(q - 3 q^{5} + q^{7} - 3 q^{9} + 2 q^{11} + 2 q^{17} - 3 q^{19} + O(q^{20})\) Copy content Toggle raw display