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SageMath
E = EllipticCurve("r1")
E.isogeny_class()
Elliptic curves in class 25872.r
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
25872.r1 | 25872bt1 | \([0, -1, 0, -20008, -1122512]\) | \(-765625/33\) | \(-38181614456832\) | \([]\) | \(64512\) | \(1.3719\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 25872.r1 has rank \(0\).
Complex multiplication
The elliptic curves in class 25872.r do not have complex multiplication.Modular form 25872.2.a.r
sage: E.q_eigenform(10)