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SageMath
E = EllipticCurve("bx1")
E.isogeny_class()
Elliptic curves in class 433251bx
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
433251.bx1 | 433251bx1 | \([0, 0, 1, -7289091, -10614700681]\) | \(-396870925750272/221358574619\) | \(-23888610755110949441139\) | \([]\) | \(54996480\) | \(2.9973\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 433251bx1 has rank \(0\).
Complex multiplication
The elliptic curves in class 433251bx do not have complex multiplication.Modular form 433251.2.a.bx
sage: E.q_eigenform(10)