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SageMath
E = EllipticCurve("o1")
E.isogeny_class()
Elliptic curves in class 103155.o
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
103155.o1 | 103155m1 | \([0, 1, 1, -35090, 3962969]\) | \(-32278933504/27421875\) | \(-4059421643671875\) | \([]\) | \(1047816\) | \(1.6926\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 103155.o1 has rank \(0\).
Complex multiplication
The elliptic curves in class 103155.o do not have complex multiplication.Modular form 103155.2.a.o
sage: E.q_eigenform(10)