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SageMath
E = EllipticCurve("d1")
E.isogeny_class()
Elliptic curves in class 68544.d
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 68544.d1 | 68544f1 | \([0, 0, 0, -32994, 2308014]\) | \(-3153242386944/2000033\) | \(-2519465570496\) | \([]\) | \(184320\) | \(1.3208\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 68544.d1 has rank \(1\).
Complex multiplication
The elliptic curves in class 68544.d do not have complex multiplication.Modular form 68544.2.a.d
sage: E.q_eigenform(10)