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SageMath
E = EllipticCurve("o1")
E.isogeny_class()
Elliptic curves in class 130130.o
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
130130.o1 | 130130o1 | \([1, 1, 0, -408138, -105930482]\) | \(-9217213605769/589531250\) | \(-480898751614531250\) | \([]\) | \(2149056\) | \(2.1462\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 130130.o1 has rank \(1\).
Complex multiplication
The elliptic curves in class 130130.o do not have complex multiplication.Modular form 130130.2.a.o
sage: E.q_eigenform(10)