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SageMath
E = EllipticCurve("o1")
E.isogeny_class()
Elliptic curves in class 5880.o
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
5880.o1 | 5880e1 | \([0, -1, 0, 35215, -2954475]\) | \(3272428544/4428675\) | \(-6535790097580800\) | \([]\) | \(29568\) | \(1.7204\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 5880.o1 has rank \(0\).
Complex multiplication
The elliptic curves in class 5880.o do not have complex multiplication.Modular form 5880.2.a.o
sage: E.q_eigenform(10)