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SageMath
E = EllipticCurve("da1")
E.isogeny_class()
Elliptic curves in class 41280da
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
41280.cl1 | 41280da1 | \([0, 1, 0, -18581, -984525]\) | \(-43304636317696/176326875\) | \(-2888939520000\) | \([]\) | \(98304\) | \(1.2472\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 41280da1 has rank \(0\).
Complex multiplication
The elliptic curves in class 41280da do not have complex multiplication.Modular form 41280.2.a.da
sage: E.q_eigenform(10)