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SageMath
E = EllipticCurve("bx1")
E.isogeny_class()
Elliptic curves in class 310464.bx
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 310464.bx1 | 310464bx1 | \([0, 0, 0, -816564, -312364024]\) | \(-235165059164416/28529701497\) | \(-7304976660705647616\) | \([]\) | \(5406720\) | \(2.3547\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 310464.bx1 has rank \(0\).
Complex multiplication
The elliptic curves in class 310464.bx do not have complex multiplication.Modular form 310464.2.a.bx
sage: E.q_eigenform(10)