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SageMath
E = EllipticCurve("o1")
E.isogeny_class()
Elliptic curves in class 88200o
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
88200.bb1 | 88200o1 | \([0, 0, 0, -10381875, 16937768750]\) | \(-1947910950/823543\) | \(-52320065619780000000000\) | \([]\) | \(7096320\) | \(3.0671\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 88200o1 has rank \(0\).
Complex multiplication
The elliptic curves in class 88200o do not have complex multiplication.Modular form 88200.2.a.o
sage: E.q_eigenform(10)