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SageMath
E = EllipticCurve("ew1")
E.isogeny_class()
Elliptic curves in class 284592ew
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
284592.ew1 | 284592ew1 | \([0, -1, 0, 282616, -319633488]\) | \(24167/441\) | \(-45554182651613712384\) | \([]\) | \(9732096\) | \(2.4526\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 284592ew1 has rank \(0\).
Complex multiplication
The elliptic curves in class 284592ew do not have complex multiplication.Modular form 284592.2.a.ew
sage: E.q_eigenform(10)