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SageMath
E = EllipticCurve("r1")
E.isogeny_class()
Elliptic curves in class 66300r
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
66300.e1 | 66300r1 | \([0, -1, 0, -918958, -1174055063]\) | \(-8582447853100000000/54611490800928087\) | \(-546114908009280870000\) | \([]\) | \(2661120\) | \(2.6626\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 66300r1 has rank \(1\).
Complex multiplication
The elliptic curves in class 66300r do not have complex multiplication.Modular form 66300.2.a.r
sage: E.q_eigenform(10)