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SageMath
E = EllipticCurve("v1")
E.isogeny_class()
Elliptic curves in class 22848.v
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
22848.v1 | 22848bq1 | \([0, -1, 0, -380485, -90207971]\) | \(-371806976516936704/89266779\) | \(-1462546907136\) | \([]\) | \(86016\) | \(1.7122\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 22848.v1 has rank \(0\).
Complex multiplication
The elliptic curves in class 22848.v do not have complex multiplication.Modular form 22848.2.a.v
sage: E.q_eigenform(10)