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SageMath
E = EllipticCurve("d1")
E.isogeny_class()
Elliptic curves in class 32200d
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 32200.s1 | 32200d1 | \([0, 1, 0, -51788633, -143467011637]\) | \(-3840316976122235063296/27784071875\) | \(-111136287500000000\) | \([]\) | \(1728000\) | \(2.8672\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 32200d1 has rank \(0\).
Complex multiplication
The elliptic curves in class 32200d do not have complex multiplication.Modular form 32200.2.a.d
sage: E.q_eigenform(10)