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SageMath
E = EllipticCurve("bx1")
E.isogeny_class()
Elliptic curves in class 141610bx
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
141610.m1 | 141610bx1 | \([1, 1, 0, -22353433, -36553073227]\) | \(1505139743881/168070000\) | \(137933517407705446630000\) | \([]\) | \(18800640\) | \(3.1731\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 141610bx1 has rank \(1\).
Complex multiplication
The elliptic curves in class 141610bx do not have complex multiplication.Modular form 141610.2.a.bx
sage: E.q_eigenform(10)