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SageMath
E = EllipticCurve("dv1")
E.isogeny_class()
Elliptic curves in class 35280dv
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
35280.a1 | 35280dv1 | \([0, 0, 0, -44688, 5992112]\) | \(-1376628736/1366875\) | \(-9799601978880000\) | \([]\) | \(215040\) | \(1.7642\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 35280dv1 has rank \(1\).
Complex multiplication
The elliptic curves in class 35280dv do not have complex multiplication.Modular form 35280.2.a.dv
sage: E.q_eigenform(10)