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SageMath
E = EllipticCurve("r1")
E.isogeny_class()
Elliptic curves in class 301530.r
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
301530.r1 | 301530r1 | \([1, 1, 0, -22, 724]\) | \(-2387929/437760\) | \(-231575040\) | \([]\) | \(172800\) | \(0.28435\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 301530.r1 has rank \(0\).
Complex multiplication
The elliptic curves in class 301530.r do not have complex multiplication.Modular form 301530.2.a.r
sage: E.q_eigenform(10)