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SageMath
E = EllipticCurve("bb1")
E.isogeny_class()
Elliptic curves in class 433200.bb
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 433200.bb1 | 433200bb1 | \([0, -1, 0, -75208, 249298912]\) | \(-100/57\) | \(-26816152170000000000\) | \([]\) | \(11059200\) | \(2.4070\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 433200.bb1 has rank \(0\).
Complex multiplication
The elliptic curves in class 433200.bb do not have complex multiplication.Modular form 433200.2.a.bb
sage: E.q_eigenform(10)