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SageMath
E = EllipticCurve("bl1")
E.isogeny_class()
Elliptic curves in class 113600bl
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 113600.cv1 | 113600bl1 | \([0, 0, 0, -4201900, 3301598000]\) | \(2003092024307193/9529458688\) | \(39032662786048000000\) | \([]\) | \(7962624\) | \(2.6085\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 113600bl1 has rank \(0\).
Complex multiplication
The elliptic curves in class 113600bl do not have complex multiplication.Modular form 113600.2.a.bl
sage: E.q_eigenform(10)