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SageMath
E = EllipticCurve("o1")
E.isogeny_class()
Elliptic curves in class 308550.o
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
308550.o1 | 308550o1 | \([1, 1, 0, -278114025, 4841964325125]\) | \(-85944135790429956649/316171526414008320\) | \(-8751830398523859271680000000\) | \([]\) | \(211507200\) | \(4.0473\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 308550.o1 has rank \(0\).
Complex multiplication
The elliptic curves in class 308550.o do not have complex multiplication.Modular form 308550.2.a.o
sage: E.q_eigenform(10)