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SageMath
E = EllipticCurve("ex1")
E.isogeny_class()
Elliptic curves in class 202800ex
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 202800.bc1 | 202800ex1 | \([0, -1, 0, 822467, 53801529937]\) | \(3186827264/64769371875\) | \(-1250517548362387500000000\) | \([]\) | \(25159680\) | \(3.3027\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 202800ex1 has rank \(0\).
Complex multiplication
The elliptic curves in class 202800ex do not have complex multiplication.Modular form 202800.2.a.ex
sage: E.q_eigenform(10)