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SageMath
E = EllipticCurve("o1")
E.isogeny_class()
Elliptic curves in class 287490o
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
287490.o1 | 287490o1 | \([1, 1, 0, 712, 31368]\) | \(29094227279/321489000\) | \(-440118441000\) | \([]\) | \(580608\) | \(0.91519\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 287490o1 has rank \(0\).
Complex multiplication
The elliptic curves in class 287490o do not have complex multiplication.Modular form 287490.2.a.o
sage: E.q_eigenform(10)