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SageMath
E = EllipticCurve("j1")
E.isogeny_class()
Elliptic curves in class 25230j
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
25230.m1 | 25230j1 | \([1, 0, 1, -1323, 18028]\) | \(304183240801/7031250\) | \(5913281250\) | \([]\) | \(19200\) | \(0.66114\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 25230j1 has rank \(1\).
Complex multiplication
The elliptic curves in class 25230j do not have complex multiplication.Modular form 25230.2.a.j
sage: E.q_eigenform(10)