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SageMath
E = EllipticCurve("o1")
E.isogeny_class()
Elliptic curves in class 303450o
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
303450.o1 | 303450o1 | \([1, 1, 0, -13155, -1714995]\) | \(-417267265/1850688\) | \(-1116777732436800\) | \([]\) | \(1244160\) | \(1.5723\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 303450o1 has rank \(1\).
Complex multiplication
The elliptic curves in class 303450o do not have complex multiplication.Modular form 303450.2.a.o
sage: E.q_eigenform(10)