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SageMath
E = EllipticCurve("o1")
E.isogeny_class()
Elliptic curves in class 7600.o
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
7600.o1 | 7600a1 | \([0, 1, 0, -208, 1588]\) | \(-31250/19\) | \(-608000000\) | \([]\) | \(2304\) | \(0.38754\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 7600.o1 has rank \(1\).
Complex multiplication
The elliptic curves in class 7600.o do not have complex multiplication.Modular form 7600.2.a.o
sage: E.q_eigenform(10)