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SageMath
E = EllipticCurve("o1")
E.isogeny_class()
Elliptic curves in class 426888o
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
426888.o1 | 426888o1 | \([0, 0, 0, 2543541, 1491493311]\) | \(15185664/16807\) | \(-2014171068100060978416\) | \([]\) | \(28385280\) | \(2.7744\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 426888o1 has rank \(2\).
Complex multiplication
The elliptic curves in class 426888o do not have complex multiplication.Modular form 426888.2.a.o
sage: E.q_eigenform(10)