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SageMath
E = EllipticCurve("q1")
E.isogeny_class()
Elliptic curves in class 99225q
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
99225.g1 | 99225q1 | \([0, 0, 1, -33075, -2025844]\) | \(36864/5\) | \(542738734453125\) | \([]\) | \(663552\) | \(1.5545\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 99225q1 has rank \(0\).
Complex multiplication
The elliptic curves in class 99225q do not have complex multiplication.Modular form 99225.2.a.q
sage: E.q_eigenform(10)