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SageMath
E = EllipticCurve("d1")
E.isogeny_class()
Elliptic curves in class 6936d
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 6936.h1 | 6936d1 | \([0, -1, 0, -5009, 280437]\) | \(-2249728/4131\) | \(-25526348169984\) | \([]\) | \(23040\) | \(1.2626\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 6936d1 has rank \(1\).
Complex multiplication
The elliptic curves in class 6936d do not have complex multiplication.Modular form 6936.2.a.d
sage: E.q_eigenform(10)