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SageMath
E = EllipticCurve("be1")
E.isogeny_class()
Elliptic curves in class 32340be
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 32340.bc1 | 32340be1 | \([0, 1, 0, -136586, -19474911]\) | \(-359442469227794176/9021375\) | \(-7072758000\) | \([]\) | \(103680\) | \(1.4076\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 32340be1 has rank \(0\).
Complex multiplication
The elliptic curves in class 32340be do not have complex multiplication.Modular form 32340.2.a.be
sage: E.q_eigenform(10)