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SageMath
E = EllipticCurve("dv1")
E.isogeny_class()
Elliptic curves in class 257600.dv
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
257600.dv1 | 257600dv1 | \([0, 0, 0, 1472500, 164950000]\) | \(137927116575/84410368\) | \(-216090542080000000000\) | \([]\) | \(7004160\) | \(2.5910\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 257600.dv1 has rank \(1\).
Complex multiplication
The elliptic curves in class 257600.dv do not have complex multiplication.Modular form 257600.2.a.dv
sage: E.q_eigenform(10)