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SageMath
E = EllipticCurve("a1")
E.isogeny_class()
Elliptic curves in class 422370a
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 422370.a1 | 422370a1 | \([1, -1, 0, -143108841150, -22883440586015084]\) | \(-26179826922135068458656961/3121019874515657687040\) | \(-38641401549675874037007244654018560\) | \([]\) | \(7207280640\) | \(5.3722\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 422370a1 has rank \(1\).
Complex multiplication
The elliptic curves in class 422370a do not have complex multiplication.Modular form 422370.2.a.a
sage: E.q_eigenform(10)