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SageMath
E = EllipticCurve("dv1")
E.isogeny_class()
Elliptic curves in class 141570dv
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
141570.m1 | 141570dv1 | \([1, -1, 0, -1165036725, -36510259116875]\) | \(-135412551115258010417641/367535633653760000000\) | \(-474660498329949476413440000000\) | \([]\) | \(183859200\) | \(4.3818\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 141570dv1 has rank \(0\).
Complex multiplication
The elliptic curves in class 141570dv do not have complex multiplication.Modular form 141570.2.a.dv
sage: E.q_eigenform(10)