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SageMath
E = EllipticCurve("bb1")
E.isogeny_class()
Elliptic curves in class 145200.bb
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 145200.bb1 | 145200dn1 | \([0, -1, 0, -795208, -272131088]\) | \(287250720625/663552\) | \(128463667200000000\) | \([]\) | \(1797120\) | \(2.1637\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 145200.bb1 has rank \(0\).
Complex multiplication
The elliptic curves in class 145200.bb do not have complex multiplication.Modular form 145200.2.a.bb
sage: E.q_eigenform(10)