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SageMath
E = EllipticCurve("b1")
E.isogeny_class()
Elliptic curves in class 22386.b
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 22386.b1 | 22386e1 | \([1, 1, 0, -2696038, -1603537004]\) | \(2167214967262362728787049/144916175320321257216\) | \(144916175320321257216\) | \([]\) | \(806400\) | \(2.6177\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 22386.b1 has rank \(0\).
Complex multiplication
The elliptic curves in class 22386.b do not have complex multiplication.Modular form 22386.2.a.b
sage: E.q_eigenform(10)