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SageMath
E = EllipticCurve("q1")
E.isogeny_class()
Elliptic curves in class 96330.q
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 96330.q1 | 96330s1 | \([1, 1, 0, 55598, -6500684]\) | \(665450269415399/1028850000000\) | \(-29384984850000000\) | \([]\) | \(967680\) | \(1.8452\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 96330.q1 has rank \(0\).
Complex multiplication
The elliptic curves in class 96330.q do not have complex multiplication.Modular form 96330.2.a.q
sage: E.q_eigenform(10)