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SageMath
E = EllipticCurve("bc1")
E.isogeny_class()
Elliptic curves in class 273600.bc
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 273600.bc1 | 273600bc1 | \([0, 0, 0, -295500, -64416400]\) | \(-23891790625/1181952\) | \(-141171590430720000\) | \([]\) | \(2949120\) | \(2.0521\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 273600.bc1 has rank \(1\).
Complex multiplication
The elliptic curves in class 273600.bc do not have complex multiplication.Modular form 273600.2.a.bc
sage: E.q_eigenform(10)