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SageMath
E = EllipticCurve("v1")
E.isogeny_class()
Elliptic curves in class 422331.v
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
422331.v1 | 422331v1 | \([1, 0, 0, -37437, -2121666]\) | \(208537/51\) | \(1419105260850459\) | \([]\) | \(2751840\) | \(1.6181\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 422331.v1 has rank \(0\).
Complex multiplication
The elliptic curves in class 422331.v do not have complex multiplication.Modular form 422331.2.a.v
sage: E.q_eigenform(10)