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SageMath
E = EllipticCurve("v1")
E.isogeny_class()
Elliptic curves in class 35322v
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 35322.w1 | 35322v1 | \([1, 1, 1, -20257605, 22616686923]\) | \(1837824455085361/621495189504\) | \(310900739221892936761344\) | \([]\) | \(4885920\) | \(3.2101\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 35322v1 has rank \(1\).
Complex multiplication
The elliptic curves in class 35322v do not have complex multiplication.Modular form 35322.2.a.v
sage: E.q_eigenform(10)