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SageMath
E = EllipticCurve("f1")
E.isogeny_class()
Elliptic curves in class 10192f
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
10192.bd1 | 10192f1 | \([0, 1, 0, -800, -9388]\) | \(-235298/13\) | \(-3132286976\) | \([]\) | \(3744\) | \(0.57992\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 10192f1 has rank \(1\).
Complex multiplication
The elliptic curves in class 10192f do not have complex multiplication.Modular form 10192.2.a.f
sage: E.q_eigenform(10)