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SageMath
E = EllipticCurve("o1")
E.isogeny_class()
Elliptic curves in class 103488.o
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
103488.o1 | 103488gr1 | \([0, -1, 0, -4445737, 3969661921]\) | \(-235165059164416/28529701497\) | \(-1178906994726143671296\) | \([]\) | \(4730880\) | \(2.7783\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 103488.o1 has rank \(0\).
Complex multiplication
The elliptic curves in class 103488.o do not have complex multiplication.Modular form 103488.2.a.o
sage: E.q_eigenform(10)