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SageMath
E = EllipticCurve("c1")
E.isogeny_class()
Elliptic curves in class 19845c
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
19845.l1 | 19845c1 | \([0, 0, 1, -1323, -16207]\) | \(36864/5\) | \(34735279005\) | \([]\) | \(27648\) | \(0.74976\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 19845c1 has rank \(0\).
Complex multiplication
The elliptic curves in class 19845c do not have complex multiplication.Modular form 19845.2.a.c
sage: E.q_eigenform(10)