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SageMath
E = EllipticCurve("r1")
E.isogeny_class()
Elliptic curves in class 225400r
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
225400.bb1 | 225400r1 | \([0, -1, 0, -5308, -152263]\) | \(-562432/23\) | \(-676481750000\) | \([]\) | \(294912\) | \(1.0376\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 225400r1 has rank \(0\).
Complex multiplication
The elliptic curves in class 225400r do not have complex multiplication.Modular form 225400.2.a.r
sage: E.q_eigenform(10)