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SageMath
E = EllipticCurve("bx1")
E.isogeny_class()
Elliptic curves in class 17640bx
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
17640.t1 | 17640bx1 | \([0, 0, 0, 316932, 79453892]\) | \(3272428544/4428675\) | \(-4764590981136403200\) | \([]\) | \(236544\) | \(2.2697\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 17640bx1 has rank \(1\).
Complex multiplication
The elliptic curves in class 17640bx do not have complex multiplication.Modular form 17640.2.a.bx
sage: E.q_eigenform(10)