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SageMath
E = EllipticCurve("o1")
E.isogeny_class()
Elliptic curves in class 392784o
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
392784.o1 | 392784o1 | \([0, -1, 0, -277404696, -1775819982096]\) | \(4899107302599545932681/7787470676557824\) | \(3752706611717535480938496\) | \([]\) | \(130056192\) | \(3.6132\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 392784o1 has rank \(1\).
Complex multiplication
The elliptic curves in class 392784o do not have complex multiplication.Modular form 392784.2.a.o
sage: E.q_eigenform(10)