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SageMath
E = EllipticCurve("bx1")
E.isogeny_class()
Elliptic curves in class 15600.bx
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
15600.bx1 | 15600t1 | \([0, 1, 0, -2633, -80637]\) | \(-504871936/394875\) | \(-1579500000000\) | \([]\) | \(23040\) | \(1.0393\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 15600.bx1 has rank \(1\).
Complex multiplication
The elliptic curves in class 15600.bx do not have complex multiplication.Modular form 15600.2.a.bx
sage: E.q_eigenform(10)