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SageMath
E = EllipticCurve("bb1")
E.isogeny_class()
Elliptic curves in class 286650.bb
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 286650.bb1 | 286650bb1 | \([1, -1, 0, -99120492, -403422049584]\) | \(-3214683778008145/238496514048\) | \(-7990203469499596800000000\) | \([]\) | \(59351040\) | \(3.5272\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 286650.bb1 has rank \(0\).
Complex multiplication
The elliptic curves in class 286650.bb do not have complex multiplication.Modular form 286650.2.a.bb
sage: E.q_eigenform(10)