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SageMath
E = EllipticCurve("be1")
E.isogeny_class()
Elliptic curves in class 179088be
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 179088.q1 | 179088be1 | \([0, -1, 0, -1916, 27804]\) | \(3040163275984/514060911\) | \(131599593216\) | \([]\) | \(200448\) | \(0.85440\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 179088be1 has rank \(0\).
Complex multiplication
The elliptic curves in class 179088be do not have complex multiplication.Modular form 179088.2.a.be
sage: E.q_eigenform(10)