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SageMath
E = EllipticCurve("bw1")
E.isogeny_class()
Elliptic curves in class 23184.bw
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
23184.bw1 | 23184r1 | \([0, 0, 0, -3531, -114662]\) | \(-3261064466/1917027\) | \(-2862105974784\) | \([]\) | \(38400\) | \(1.0928\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 23184.bw1 has rank \(0\).
Complex multiplication
The elliptic curves in class 23184.bw do not have complex multiplication.Modular form 23184.2.a.bw
sage: E.q_eigenform(10)