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SageMath
E = EllipticCurve("dw1")
E.isogeny_class()
Elliptic curves in class 84150dw
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 84150.ex1 | 84150dw1 | \([1, -1, 1, -229880, -75427253]\) | \(-4368317413923/5475734000\) | \(-1684044880031250000\) | \([]\) | \(1382400\) | \(2.1907\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 84150dw1 has rank \(1\).
Complex multiplication
The elliptic curves in class 84150dw do not have complex multiplication.Modular form 84150.2.a.dw
sage: E.q_eigenform(10)