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SageMath
E = EllipticCurve("o1")
E.isogeny_class()
Elliptic curves in class 47190o
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
47190.l1 | 47190o1 | \([1, 1, 0, -14632, -687386]\) | \(-2863490820124561/35538750\) | \(-4300188750\) | \([]\) | \(69888\) | \(0.99577\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 47190o1 has rank \(1\).
Complex multiplication
The elliptic curves in class 47190o do not have complex multiplication.Modular form 47190.2.a.o
sage: E.q_eigenform(10)