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SageMath
E = EllipticCurve("bd1")
E.isogeny_class()
Elliptic curves in class 234416.bd
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 234416.bd1 | 234416bd1 | \([0, 0, 0, -686000, 218692684]\) | \(3456000000000/299\) | \(3088826494208\) | \([]\) | \(1150464\) | \(1.8371\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 234416.bd1 has rank \(1\).
Complex multiplication
The elliptic curves in class 234416.bd do not have complex multiplication.Modular form 234416.2.a.bd
sage: E.q_eigenform(10)