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SageMath
E = EllipticCurve("o1")
E.isogeny_class()
Elliptic curves in class 142956.o
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
142956.o1 | 142956bc1 | \([0, 0, 0, -1296351, 570024054]\) | \(-2815344/11\) | \(-941353519282184448\) | \([]\) | \(1575936\) | \(2.3068\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 142956.o1 has rank \(1\).
Complex multiplication
The elliptic curves in class 142956.o do not have complex multiplication.Modular form 142956.2.a.o
sage: E.q_eigenform(10)