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SageMath
E = EllipticCurve("bc1")
E.isogeny_class()
Elliptic curves in class 148120.bc
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 148120.bc1 | 148120bp1 | \([0, 1, 0, -58136, -5423440]\) | \(-20057693917202/37515625\) | \(-40644128000000\) | \([]\) | \(414720\) | \(1.5019\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 148120.bc1 has rank \(0\).
Complex multiplication
The elliptic curves in class 148120.bc do not have complex multiplication.Modular form 148120.2.a.bc
sage: E.q_eigenform(10)