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SageMath
E = EllipticCurve("bx1")
E.isogeny_class()
Elliptic curves in class 71148bx
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
71148.bk1 | 71148bx1 | \([0, 1, 0, -13394740, -18873498316]\) | \(-8985792737264/2187\) | \(-64687295593122048\) | \([]\) | \(4257792\) | \(2.6028\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 71148bx1 has rank \(0\).
Complex multiplication
The elliptic curves in class 71148bx do not have complex multiplication.Modular form 71148.2.a.bx
sage: E.q_eigenform(10)