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SageMath
E = EllipticCurve("r1")
E.isogeny_class()
Elliptic curves in class 303450.r
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
303450.r1 | 303450r1 | \([1, 1, 0, -2275, -42875]\) | \(-288568081/1176\) | \(-5310375000\) | \([]\) | \(241920\) | \(0.72220\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 303450.r1 has rank \(1\).
Complex multiplication
The elliptic curves in class 303450.r do not have complex multiplication.Modular form 303450.2.a.r
sage: E.q_eigenform(10)