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SageMath
E = EllipticCurve("o1")
E.isogeny_class()
Elliptic curves in class 299538o
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
299538.o1 | 299538o1 | \([1, -1, 1, -48703007, 128391892615]\) | \(47832147/1024\) | \(273508679967055647501312\) | \([]\) | \(53127360\) | \(3.2861\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 299538o1 has rank \(0\).
Complex multiplication
The elliptic curves in class 299538o do not have complex multiplication.Modular form 299538.2.a.o
sage: E.q_eigenform(10)