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SageMath
E = EllipticCurve("hb1")
E.isogeny_class()
Elliptic curves in class 426888hb
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 426888.hb1 | 426888hb1 | \([0, 0, 0, 22891869, -40270319397]\) | \(15185664/16807\) | \(-1468330708644944453265264\) | \([]\) | \(85155840\) | \(3.3237\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 426888hb1 has rank \(1\).
Complex multiplication
The elliptic curves in class 426888hb do not have complex multiplication.Modular form 426888.2.a.hb
sage: E.q_eigenform(10)