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SageMath
E = EllipticCurve("bl1")
E.isogeny_class()
Elliptic curves in class 236992.bl
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 236992.bl1 | 236992bl1 | \([0, 0, 0, 535348, -76116752]\) | \(3306204/2401\) | \(-12322385144032854016\) | \([]\) | \(3108864\) | \(2.3515\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 236992.bl1 has rank \(0\).
Complex multiplication
The elliptic curves in class 236992.bl do not have complex multiplication.Modular form 236992.2.a.bl
sage: E.q_eigenform(10)