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SageMath
E = EllipticCurve("bc1")
E.isogeny_class()
Elliptic curves in class 133200.bc
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 133200.bc1 | 133200ek1 | \([0, 0, 0, -24933075, 48836815250]\) | \(-991990479802737267/22190066240000\) | \(-38344434462720000000000\) | \([]\) | \(9953280\) | \(3.1219\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 133200.bc1 has rank \(0\).
Complex multiplication
The elliptic curves in class 133200.bc do not have complex multiplication.Modular form 133200.2.a.bc
sage: E.q_eigenform(10)