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SageMath
E = EllipticCurve("cf1")
E.isogeny_class()
Elliptic curves in class 98736.cf
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 98736.cf1 | 98736cv1 | \([0, -1, 0, 205320504, 56968454846448]\) | \(9010188470393231/13201960638001752\) | \(-1402572220962981059812970299392\) | \([]\) | \(234748800\) | \(4.4636\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 98736.cf1 has rank \(0\).
Complex multiplication
The elliptic curves in class 98736.cf do not have complex multiplication.Modular form 98736.2.a.cf
sage: E.q_eigenform(10)