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SageMath
E = EllipticCurve("bw1")
E.isogeny_class()
Elliptic curves in class 133952bw
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 133952.r1 | 133952bw1 | \([0, 1, 0, -941984037, -11128218516413]\) | \(5642017163771722268092767232/570626054098424597\) | \(9349137270348588597248\) | \([]\) | \(38016000\) | \(3.6467\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 133952bw1 has rank \(1\).
Complex multiplication
The elliptic curves in class 133952bw do not have complex multiplication.Modular form 133952.2.a.bw
sage: E.q_eigenform(10)