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SageMath
E = EllipticCurve("o1")
E.isogeny_class()
Elliptic curves in class 402930.o
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
402930.o1 | 402930o1 | \([1, -1, 0, -890280, 322561696]\) | \(60425492474521/212747040\) | \(274755987659561760\) | \([]\) | \(5529600\) | \(2.2084\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 402930.o1 has rank \(1\).
Complex multiplication
The elliptic curves in class 402930.o do not have complex multiplication.Modular form 402930.2.a.o
sage: E.q_eigenform(10)