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SageMath
E = EllipticCurve("o1")
E.isogeny_class()
Elliptic curves in class 96192o
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
96192.t1 | 96192o1 | \([0, 0, 0, -6613452, 6546217392]\) | \(-1339155058930756488/4657463\) | \(-111256879988736\) | \([]\) | \(1671168\) | \(2.3386\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 96192o1 has rank \(1\).
Complex multiplication
The elliptic curves in class 96192o do not have complex multiplication.Modular form 96192.2.a.o
sage: E.q_eigenform(10)