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SageMath
E = EllipticCurve("bb1")
E.isogeny_class()
Elliptic curves in class 405600.bb
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
405600.bb1 | 405600bb1 | \([0, -1, 0, -732333, -1795599963]\) | \(-5624320/177147\) | \(-1368087574276800000000\) | \([]\) | \(18627840\) | \(2.7360\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 405600.bb1 has rank \(1\).
Complex multiplication
The elliptic curves in class 405600.bb do not have complex multiplication.Modular form 405600.2.a.bb
sage: E.q_eigenform(10)