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SageMath
E = EllipticCurve("bx1")
E.isogeny_class()
Elliptic curves in class 138600bx
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
138600.e1 | 138600bx1 | \([0, 0, 0, -229366875, -1357142206250]\) | \(-91528907990864450/1604769890031\) | \(-23397544996651980000000000\) | \([]\) | \(31933440\) | \(3.6653\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 138600bx1 has rank \(1\).
Complex multiplication
The elliptic curves in class 138600bx do not have complex multiplication.Modular form 138600.2.a.bx
sage: E.q_eigenform(10)