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SageMath
E = EllipticCurve("d1")
E.isogeny_class()
Elliptic curves in class 4598.d
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 4598.d1 | 4598c1 | \([1, -1, 0, -2711330, 1719076904]\) | \(-84985354223649/521284\) | \(-13520764445707684\) | \([]\) | \(89760\) | \(2.2823\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 4598.d1 has rank \(0\).
Complex multiplication
The elliptic curves in class 4598.d do not have complex multiplication.Modular form 4598.2.a.d
sage: E.q_eigenform(10)