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SageMath
E = EllipticCurve("bc1")
E.isogeny_class()
Elliptic curves in class 334620.bc
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 334620.bc1 | 334620bc1 | \([0, 0, 0, -2028, 33293]\) | \(2768896/165\) | \(54967358160\) | \([]\) | \(322560\) | \(0.81372\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 334620.bc1 has rank \(0\).
Complex multiplication
The elliptic curves in class 334620.bc do not have complex multiplication.Modular form 334620.2.a.bc
sage: E.q_eigenform(10)