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SageMath
E = EllipticCurve("r1")
E.isogeny_class()
Elliptic curves in class 288834.r
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
288834.r1 | 288834r1 | \([1, 0, 1, -3979, 110678]\) | \(-47045881/8736\) | \(-1293241526304\) | \([]\) | \(498960\) | \(1.0485\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 288834.r1 has rank \(0\).
Complex multiplication
The elliptic curves in class 288834.r do not have complex multiplication.Modular form 288834.2.a.r
sage: E.q_eigenform(10)