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SageMath
E = EllipticCurve("q1")
E.isogeny_class()
Elliptic curves in class 49686.q
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 49686.q1 | 49686l1 | \([1, 1, 0, -10202364, 12546724338]\) | \(-1223745654937/907578\) | \(-87100173164878471962\) | \([]\) | \(3144960\) | \(2.7598\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 49686.q1 has rank \(0\).
Complex multiplication
The elliptic curves in class 49686.q do not have complex multiplication.Modular form 49686.2.a.q
sage: E.q_eigenform(10)