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SageMath
E = EllipticCurve("b1")
E.isogeny_class()
Elliptic curves in class 201.b
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 201.b1 | 201b1 | \([1, 0, 0, -1, 2]\) | \(-117649/1809\) | \(-1809\) | \([]\) | \(12\) | \(-0.69359\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 201.b1 has rank \(1\).
Complex multiplication
The elliptic curves in class 201.b do not have complex multiplication.Modular form 201.2.a.b
sage: E.q_eigenform(10)