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SageMath
E = EllipticCurve("v1")
E.isogeny_class()
Elliptic curves in class 122010v
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 122010.s1 | 122010v1 | \([1, 0, 1, -22419, -1298258]\) | \(-10591472326681/41832000\) | \(-4921492968000\) | \([]\) | \(580608\) | \(1.2929\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 122010v1 has rank \(0\).
Complex multiplication
The elliptic curves in class 122010v do not have complex multiplication.Modular form 122010.2.a.v
sage: E.q_eigenform(10)