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SageMath
E = EllipticCurve("o1")
E.isogeny_class()
Elliptic curves in class 424830.o
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
424830.o1 | 424830o1 | \([1, 1, 0, -687103, -519559067]\) | \(-43713001/116640\) | \(-95725385080233017760\) | \([]\) | \(13880160\) | \(2.5215\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 424830.o1 has rank \(1\).
Complex multiplication
The elliptic curves in class 424830.o do not have complex multiplication.Modular form 424830.2.a.o
sage: E.q_eigenform(10)