Properties

Label 75712.ci
Number of curves $1$
Conductor $75712$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("ci1")
 
E.isogeny_class()
 

Elliptic curves in class 75712.ci

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
75712.ci1 75712bx1 \([0, 1, 0, -225, 4031]\) \(-1352/7\) \(-6551207936\) \([]\) \(32256\) \(0.56784\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 75712.ci1 has rank \(0\).

Complex multiplication

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

Modular form 75712.2.a.ci

sage: E.q_eigenform(10)
 
\(q + q^{3} + q^{5} - q^{7} - 2 q^{9} + 4 q^{11} + q^{15} - 6 q^{17} + 4 q^{19} + O(q^{20})\) Copy content Toggle raw display