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SageMath
E = EllipticCurve("l1")
E.isogeny_class()
Elliptic curves in class 284592l
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
284592.l1 | 284592l1 | \([0, -1, 0, -719385, 247540581]\) | \(-37811178496/2381643\) | \(-2593372486960620288\) | \([]\) | \(9538560\) | \(2.2871\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 284592l1 has rank \(0\).
Complex multiplication
The elliptic curves in class 284592l do not have complex multiplication.Modular form 284592.2.a.l
sage: E.q_eigenform(10)