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SageMath
E = EllipticCurve("o1")
E.isogeny_class()
Elliptic curves in class 200277o
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
200277.p1 | 200277o1 | \([0, 0, 1, 5202, -33163]\) | \(884736/539\) | \(-9484399124739\) | \([]\) | \(286720\) | \(1.1793\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 200277o1 has rank \(1\).
Complex multiplication
The elliptic curves in class 200277o do not have complex multiplication.Modular form 200277.2.a.o
sage: E.q_eigenform(10)