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SageMath
E = EllipticCurve("o1")
E.isogeny_class()
Elliptic curves in class 88445.o
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
88445.o1 | 88445bl1 | \([1, -1, 1, -22203012, 40320853024]\) | \(-92959677/125\) | \(-1627701567488567356625\) | \([]\) | \(13278720\) | \(2.9758\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 88445.o1 has rank \(1\).
Complex multiplication
The elliptic curves in class 88445.o do not have complex multiplication.Modular form 88445.2.a.o
sage: E.q_eigenform(10)