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SageMath
E = EllipticCurve("o1")
E.isogeny_class()
Elliptic curves in class 94192.o
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
94192.o1 | 94192bf1 | \([0, -1, 0, -870744, 325064176]\) | \(-21195308337309457/962072674304\) | \(-3314086375791263744\) | \([]\) | \(2024640\) | \(2.3178\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 94192.o1 has rank \(1\).
Complex multiplication
The elliptic curves in class 94192.o do not have complex multiplication.Modular form 94192.2.a.o
sage: E.q_eigenform(10)