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SageMath
E = EllipticCurve("r1")
E.isogeny_class()
Elliptic curves in class 9800r
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 9800.h1 | 9800r1 | \([0, 1, 0, -34708, 5887713]\) | \(-6288640/16807\) | \(-12358292143750000\) | \([]\) | \(57600\) | \(1.7752\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 9800r1 has rank \(1\).
Complex multiplication
The elliptic curves in class 9800r do not have complex multiplication.Modular form 9800.2.a.r
sage: E.q_eigenform(10)