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SageMath
E = EllipticCurve("bc1")
E.isogeny_class()
Elliptic curves in class 48400.bc
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
48400.bc1 | 48400bm1 | \([0, -1, 0, -78008, -9081488]\) | \(-616295051/64000\) | \(-5451776000000000\) | \([]\) | \(248832\) | \(1.7588\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 48400.bc1 has rank \(0\).
Complex multiplication
The elliptic curves in class 48400.bc do not have complex multiplication.Modular form 48400.2.a.bc
sage: E.q_eigenform(10)