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SageMath
E = EllipticCurve("r1")
E.isogeny_class()
Elliptic curves in class 68544r
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
68544.r1 | 68544r1 | \([0, 0, 0, -32994, -2308014]\) | \(-3153242386944/2000033\) | \(-2519465570496\) | \([]\) | \(184320\) | \(1.3208\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 68544r1 has rank \(0\).
Complex multiplication
The elliptic curves in class 68544r do not have complex multiplication.Modular form 68544.2.a.r
sage: E.q_eigenform(10)