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SageMath
E = EllipticCurve("d1")
E.isogeny_class()
Elliptic curves in class 142956d
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 142956.f1 | 142956d1 | \([0, 0, 0, -1790199, -921890754]\) | \(200184912/11\) | \(34864945158599424\) | \([]\) | \(2363904\) | \(2.2401\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 142956d1 has rank \(0\).
Complex multiplication
The elliptic curves in class 142956d do not have complex multiplication.Modular form 142956.2.a.d
sage: E.q_eigenform(10)