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SageMath
E = EllipticCurve("o1")
E.isogeny_class()
Elliptic curves in class 79560.o
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
79560.o1 | 79560o1 | \([0, 0, 0, 9357, 205567]\) | \(7767586344704/6060234375\) | \(-70686573750000\) | \([]\) | \(193536\) | \(1.3454\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 79560.o1 has rank \(0\).
Complex multiplication
The elliptic curves in class 79560.o do not have complex multiplication.Modular form 79560.2.a.o
sage: E.q_eigenform(10)