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SageMath
E = EllipticCurve("bx1")
E.isogeny_class()
Elliptic curves in class 379050.bx
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
379050.bx1 | 379050bx1 | \([1, 1, 0, 733429975, -56373451786875]\) | \(59355100650962613671/1902001541078016000\) | \(-1398145908802702382064000000000\) | \([]\) | \(566092800\) | \(4.4644\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 379050.bx1 has rank \(1\).
Complex multiplication
The elliptic curves in class 379050.bx do not have complex multiplication.Modular form 379050.2.a.bx
sage: E.q_eigenform(10)