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SageMath
E = EllipticCurve("c1")
E.isogeny_class()
Elliptic curves in class 10192c
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
10192.bc1 | 10192c1 | \([0, 1, 0, -800, 6047]\) | \(614656/169\) | \(15588021904\) | \([]\) | \(5376\) | \(0.66339\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 10192c1 has rank \(0\).
Complex multiplication
The elliptic curves in class 10192c do not have complex multiplication.Modular form 10192.2.a.c
sage: E.q_eigenform(10)