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SageMath
E = EllipticCurve("r1")
E.isogeny_class()
Elliptic curves in class 8925.r
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
8925.r1 | 8925w1 | \([0, 1, 1, -883, 14644]\) | \(-4878401536/3346875\) | \(-52294921875\) | \([]\) | \(5760\) | \(0.75705\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 8925.r1 has rank \(1\).
Complex multiplication
The elliptic curves in class 8925.r do not have complex multiplication.Modular form 8925.2.a.r
sage: E.q_eigenform(10)