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SageMath
E = EllipticCurve("cf1")
E.isogeny_class()
Elliptic curves in class 62400cf
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 62400.gb1 | 62400cf1 | \([0, 1, 0, -6633, -328887]\) | \(-32278933504/27421875\) | \(-27421875000000\) | \([]\) | \(161280\) | \(1.2761\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 62400cf1 has rank \(0\).
Complex multiplication
The elliptic curves in class 62400cf do not have complex multiplication.Modular form 62400.2.a.cf
sage: E.q_eigenform(10)