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SageMath
E = EllipticCurve("bd1")
E.isogeny_class()
Elliptic curves in class 106722.bd
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
106722.bd1 | 106722cd1 | \([1, -1, 0, 33192, -12021696]\) | \(48013/768\) | \(-64687295593122048\) | \([]\) | \(1013760\) | \(1.9063\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 106722.bd1 has rank \(1\).
Complex multiplication
The elliptic curves in class 106722.bd do not have complex multiplication.Modular form 106722.2.a.bd
sage: E.q_eigenform(10)