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SageMath
E = EllipticCurve("be1")
E.isogeny_class()
Elliptic curves in class 123210be
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
123210.r1 | 123210be1 | \([1, -1, 0, -351405, -142096515035]\) | \(-1369/2488320\) | \(-8722701269204016095262720\) | \([]\) | \(32820480\) | \(3.4645\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 123210be1 has rank \(0\).
Complex multiplication
The elliptic curves in class 123210be do not have complex multiplication.Modular form 123210.2.a.be
sage: E.q_eigenform(10)