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SageMath
E = EllipticCurve("bc1")
E.isogeny_class()
Elliptic curves in class 104544.bc
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 104544.bc1 | 104544d1 | \([0, 0, 0, 26136, -574992]\) | \(1536\) | \(-1285434230648832\) | \([]\) | \(403200\) | \(1.5880\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 104544.bc1 has rank \(0\).
Complex multiplication
The elliptic curves in class 104544.bc do not have complex multiplication.Modular form 104544.2.a.bc
sage: E.q_eigenform(10)