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SageMath
E = EllipticCurve("e1")
E.isogeny_class()
Elliptic curves in class 35594e
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 35594.d1 | 35594e1 | \([1, -1, 1, -528691, -509463917]\) | \(-4652805537/29246464\) | \(-102727603899840185344\) | \([]\) | \(852480\) | \(2.5235\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 35594e1 has rank \(1\).
Complex multiplication
The elliptic curves in class 35594e do not have complex multiplication.Modular form 35594.2.a.e
sage: E.q_eigenform(10)