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SageMath
E = EllipticCurve("o1")
E.isogeny_class()
Elliptic curves in class 17472.o
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
17472.o1 | 17472d1 | \([0, -1, 0, -481, -4511]\) | \(-47045881/8736\) | \(-2290089984\) | \([]\) | \(7680\) | \(0.52047\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 17472.o1 has rank \(0\).
Complex multiplication
The elliptic curves in class 17472.o do not have complex multiplication.Modular form 17472.2.a.o
sage: E.q_eigenform(10)