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SageMath
E = EllipticCurve("ex1")
E.isogeny_class()
Elliptic curves in class 145200ex
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
145200.t1 | 145200ex1 | \([0, -1, 0, -2600088, -1612842768]\) | \(1296633753003985/17006112\) | \(25496216145100800\) | \([]\) | \(2903040\) | \(2.2923\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 145200ex1 has rank \(1\).
Complex multiplication
The elliptic curves in class 145200ex do not have complex multiplication.Modular form 145200.2.a.ex
sage: E.q_eigenform(10)