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SageMath
E = EllipticCurve("bc1")
E.isogeny_class()
Elliptic curves in class 106722.bc
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 106722.bc1 | 106722dm1 | \([1, -1, 0, -4923, -123579]\) | \(3053190217/209952\) | \(907463142432\) | \([]\) | \(184320\) | \(1.0427\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 106722.bc1 has rank \(0\).
Complex multiplication
The elliptic curves in class 106722.bc do not have complex multiplication.Modular form 106722.2.a.bc
sage: E.q_eigenform(10)