Properties

Label 76230.r
Number of curves $1$
Conductor $76230$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("r1")
 
E.isogeny_class()
 

Elliptic curves in class 76230.r

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
76230.r1 76230bi1 \([1, -1, 0, -358650, -82601964]\) \(-57839429434456681/16470860000\) \(-1452878089740000\) \([]\) \(806400\) \(1.8900\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 76230.r1 has rank \(0\).

Complex multiplication

The elliptic curves in class 76230.r do not have complex multiplication.

Modular form 76230.2.a.r

sage: E.q_eigenform(10)
 
\(q - q^{2} + q^{4} - q^{5} + q^{7} - q^{8} + q^{10} - 3 q^{13} - q^{14} + q^{16} - 3 q^{19} + O(q^{20})\) Copy content Toggle raw display