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SageMath
E = EllipticCurve("bd1")
E.isogeny_class()
Elliptic curves in class 164730.bd
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 164730.bd1 | 164730ca1 | \([1, 0, 1, 1450051, 177349016]\) | \(48337323922871/29918160000\) | \(-208701827241028560000\) | \([]\) | \(7402752\) | \(2.5881\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 164730.bd1 has rank \(0\).
Complex multiplication
The elliptic curves in class 164730.bd do not have complex multiplication.Modular form 164730.2.a.bd
sage: E.q_eigenform(10)