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SageMath
E = EllipticCurve("o1")
E.isogeny_class()
Elliptic curves in class 29645.o
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
29645.o1 | 29645p1 | \([0, 0, 1, -847, -16305]\) | \(-110592/125\) | \(-75955677875\) | \([]\) | \(68640\) | \(0.78219\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 29645.o1 has rank \(0\).
Complex multiplication
The elliptic curves in class 29645.o do not have complex multiplication.Modular form 29645.2.a.o
sage: E.q_eigenform(10)