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SageMath
E = EllipticCurve("bx1")
E.isogeny_class()
Elliptic curves in class 161840bx
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
161840.cm1 | 161840bx1 | \([0, 0, 0, 9248, -1041556]\) | \(14155776/84035\) | \(-519270556394240\) | \([]\) | \(1240320\) | \(1.5055\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 161840bx1 has rank \(1\).
Complex multiplication
The elliptic curves in class 161840bx do not have complex multiplication.Modular form 161840.2.a.bx
sage: E.q_eigenform(10)