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SageMath
E = EllipticCurve("bc1")
E.isogeny_class()
Elliptic curves in class 179776bc
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
179776.r1 | 179776bc1 | \([0, -1, 0, -10520641, -13626568447]\) | \(-22472\) | \(-5730712628937131589632\) | \([]\) | \(12272256\) | \(2.9398\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 179776bc1 has rank \(1\).
Complex multiplication
The elliptic curves in class 179776bc do not have complex multiplication.Modular form 179776.2.a.bc
sage: E.q_eigenform(10)