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SageMath
E = EllipticCurve("hb1")
E.isogeny_class()
Elliptic curves in class 91200.hb
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 91200.hb1 | 91200hg1 | \([0, 1, 0, 2527, 233823]\) | \(272199695/3735552\) | \(-24481313587200\) | \([]\) | \(147456\) | \(1.2498\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 91200.hb1 has rank \(1\).
Complex multiplication
The elliptic curves in class 91200.hb do not have complex multiplication.Modular form 91200.2.a.hb
sage: E.q_eigenform(10)