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SageMath
E = EllipticCurve("dd1")
E.isogeny_class()
Elliptic curves in class 473200dd
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 473200.dd1 | 473200dd1 | \([0, -1, 0, -98934008, -397434693488]\) | \(-693346671296498/40610171875\) | \(-6272561379129500000000000\) | \([]\) | \(100638720\) | \(3.5142\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 473200dd1 has rank \(0\).
Complex multiplication
The elliptic curves in class 473200dd do not have complex multiplication.Modular form 473200.2.a.dd
sage: E.q_eigenform(10)