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SageMath
E = EllipticCurve("o1")
E.isogeny_class()
Elliptic curves in class 253575.o
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
253575.o1 | 253575o1 | \([0, 0, 1, -1106175, 508958406]\) | \(-111701610496/18862875\) | \(-25278056557154296875\) | \([]\) | \(8626176\) | \(2.4498\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 253575.o1 has rank \(1\).
Complex multiplication
The elliptic curves in class 253575.o do not have complex multiplication.Modular form 253575.2.a.o
sage: E.q_eigenform(10)