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SageMath
E = EllipticCurve("bx1")
E.isogeny_class()
Elliptic curves in class 44400bx
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
44400.d1 | 44400bx1 | \([0, -1, 0, 1258792, 1350780912]\) | \(137868581419655/572735619072\) | \(-916376990515200000000\) | \([]\) | \(1555200\) | \(2.7049\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 44400bx1 has rank \(1\).
Complex multiplication
The elliptic curves in class 44400bx do not have complex multiplication.Modular form 44400.2.a.bx
sage: E.q_eigenform(10)