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SageMath
E = EllipticCurve("bc1")
E.isogeny_class()
Elliptic curves in class 23184.bc
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
23184.bc1 | 23184q1 | \([0, 0, 0, 219825, -1004823927]\) | \(100718081964000000/37453512751940327\) | \(-436857772738631974128\) | \([]\) | \(685440\) | \(2.6396\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 23184.bc1 has rank \(0\).
Complex multiplication
The elliptic curves in class 23184.bc do not have complex multiplication.Modular form 23184.2.a.bc
sage: E.q_eigenform(10)