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SageMath
E = EllipticCurve("d1")
E.isogeny_class()
Elliptic curves in class 140790.d
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 140790.d1 | 140790ct1 | \([1, 1, 0, 2799187, -875234403]\) | \(142820450835911/102187837440\) | \(-1735513579185700055040\) | \([]\) | \(9630720\) | \(2.7639\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 140790.d1 has rank \(0\).
Complex multiplication
The elliptic curves in class 140790.d do not have complex multiplication.Modular form 140790.2.a.d
sage: E.q_eigenform(10)