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SageMath
E = EllipticCurve("r1")
E.isogeny_class()
Elliptic curves in class 28050r
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
28050.d1 | 28050r1 | \([1, 1, 0, -300, 3150]\) | \(-4802500825/4634982\) | \(-2896863750\) | \([]\) | \(22464\) | \(0.51169\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 28050r1 has rank \(2\).
Complex multiplication
The elliptic curves in class 28050r do not have complex multiplication.Modular form 28050.2.a.r
sage: E.q_eigenform(10)