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SageMath
E = EllipticCurve("bt1")
E.isogeny_class()
Elliptic curves in class 161700.bt
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 161700.bt1 | 161700dl1 | \([0, -1, 0, -576158, 191746437]\) | \(-719152519936/122762871\) | \(-3610732252569750000\) | \([]\) | \(2096640\) | \(2.2873\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 161700.bt1 has rank \(0\).
Complex multiplication
The elliptic curves in class 161700.bt do not have complex multiplication.Modular form 161700.2.a.bt
sage: E.q_eigenform(10)