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SageMath
E = EllipticCurve("be1")
E.isogeny_class()
Elliptic curves in class 164730.be
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
164730.be1 | 164730cb1 | \([1, 0, 1, 123541, -332030824]\) | \(103436279/23685210\) | \(-47749238890853659290\) | \([]\) | \(4465152\) | \(2.4552\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 164730.be1 has rank \(0\).
Complex multiplication
The elliptic curves in class 164730.be do not have complex multiplication.Modular form 164730.2.a.be
sage: E.q_eigenform(10)