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SageMath
E = EllipticCurve("o1")
E.isogeny_class()
Elliptic curves in class 77616.o
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
77616.o1 | 77616fq1 | \([0, 0, 0, -9849, -448301]\) | \(-76995328/18711\) | \(-25676318240496\) | \([]\) | \(184320\) | \(1.2915\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 77616.o1 has rank \(2\).
Complex multiplication
The elliptic curves in class 77616.o do not have complex multiplication.Modular form 77616.2.a.o
sage: E.q_eigenform(10)