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SageMath
E = EllipticCurve("d1")
E.isogeny_class()
Elliptic curves in class 98315.d
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 98315.d1 | 98315a1 | \([0, -1, 1, -99251, 19832346]\) | \(-1736704/1715\) | \(-106775369055484115\) | \([]\) | \(824256\) | \(1.9633\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 98315.d1 has rank \(0\).
Complex multiplication
The elliptic curves in class 98315.d do not have complex multiplication.Modular form 98315.2.a.d
sage: E.q_eigenform(10)