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SageMath
E = EllipticCurve("o1")
E.isogeny_class()
Elliptic curves in class 26520.o
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
26520.o1 | 26520t1 | \([0, -1, 0, -9180931520, 338599261236780]\) | \(-41788232654067676478925951960962/428246593676749551934035\) | \(-877049023849983082360903680\) | \([]\) | \(24675840\) | \(4.3279\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 26520.o1 has rank \(1\).
Complex multiplication
The elliptic curves in class 26520.o do not have complex multiplication.Modular form 26520.2.a.o
sage: E.q_eigenform(10)