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SageMath
E = EllipticCurve("o1")
E.isogeny_class()
Elliptic curves in class 25270.o
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
25270.o1 | 25270m1 | \([1, 1, 1, 4144, 308373]\) | \(24389/140\) | \(-45176277689060\) | \([]\) | \(66880\) | \(1.3021\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 25270.o1 has rank \(0\).
Complex multiplication
The elliptic curves in class 25270.o do not have complex multiplication.Modular form 25270.2.a.o
sage: E.q_eigenform(10)