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SageMath
E = EllipticCurve("br1")
E.isogeny_class()
Elliptic curves in class 350658br
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
350658.br1 | 350658br1 | \([1, -1, 0, -9094806, -1642555260]\) | \(4399969620937/2484466992\) | \(46977252278152813969968\) | \([]\) | \(43794432\) | \(3.0404\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 350658br1 has rank \(0\).
Complex multiplication
The elliptic curves in class 350658br do not have complex multiplication.Modular form 350658.2.a.br
sage: E.q_eigenform(10)