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SageMath
E = EllipticCurve("hb1")
E.isogeny_class()
Elliptic curves in class 303450.hb
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 303450.hb1 | 303450hb1 | \([1, 0, 0, -22581888, -24991420608]\) | \(18694465225/6858432\) | \(467214434156176875000000\) | \([]\) | \(67858560\) | \(3.2420\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 303450.hb1 has rank \(1\).
Complex multiplication
The elliptic curves in class 303450.hb do not have complex multiplication.Modular form 303450.2.a.hb
sage: E.q_eigenform(10)