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SageMath
E = EllipticCurve("r1")
E.isogeny_class()
Elliptic curves in class 2450.r
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
2450.r1 | 2450n1 | \([1, -1, 0, 383, 52541]\) | \(1323/256\) | \(-1200500000000\) | \([]\) | \(5760\) | \(0.99706\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 2450.r1 has rank \(0\).
Complex multiplication
The elliptic curves in class 2450.r do not have complex multiplication.Modular form 2450.2.a.r
sage: E.q_eigenform(10)