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SageMath
E = EllipticCurve("bb1")
E.isogeny_class()
Elliptic curves in class 22218bb
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
22218.s1 | 22218bb1 | \([1, 1, 1, -2702, -53125]\) | \(4124146838737/178564176\) | \(94460449104\) | \([]\) | \(29952\) | \(0.86962\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 22218bb1 has rank \(0\).
Complex multiplication
The elliptic curves in class 22218bb do not have complex multiplication.Modular form 22218.2.a.bb
sage: E.q_eigenform(10)