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SageMath
E = EllipticCurve("bd1")
E.isogeny_class()
Elliptic curves in class 485100bd
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 485100.bd1 | 485100bd1 | \([0, 0, 0, 30194075625, -188946289831250]\) | \(5913450834762800/3452093881137\) | \(-1777176390831515746360942500000000\) | \([]\) | \(1546110720\) | \(5.0695\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 485100bd1 has rank \(0\).
Complex multiplication
The elliptic curves in class 485100bd do not have complex multiplication.Modular form 485100.2.a.bd
sage: E.q_eigenform(10)