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SageMath
E = EllipticCurve("d1")
E.isogeny_class()
Elliptic curves in class 169650.d
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 169650.d1 | 169650dl1 | \([1, -1, 0, 1312308, 4390125966]\) | \(21942358211971079/743761560420918\) | \(-8471909024169519093750\) | \([]\) | \(13977600\) | \(2.8875\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 169650.d1 has rank \(0\).
Complex multiplication
The elliptic curves in class 169650.d do not have complex multiplication.Modular form 169650.2.a.d
sage: E.q_eigenform(10)