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SageMath
E = EllipticCurve("bb1")
E.isogeny_class()
Elliptic curves in class 190608.bb
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 190608.bb1 | 190608bw1 | \([0, -1, 0, 2176672, -1522676352]\) | \(771321318129938375/1123100229130902\) | \(-1660678892405783027712\) | \([]\) | \(8812800\) | \(2.7573\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 190608.bb1 has rank \(0\).
Complex multiplication
The elliptic curves in class 190608.bb do not have complex multiplication.Modular form 190608.2.a.bb
sage: E.q_eigenform(10)