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SageMath
E = EllipticCurve("j1")
E.isogeny_class()
Elliptic curves in class 302330.j
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
302330.j1 | 302330j1 | \([1, -1, 0, -423859, 106320213]\) | \(-71581414466974329/431900000\) | \(-50812603100000\) | \([]\) | \(1996800\) | \(1.8179\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 302330.j1 has rank \(2\).
Complex multiplication
The elliptic curves in class 302330.j do not have complex multiplication.Modular form 302330.2.a.j
sage: E.q_eigenform(10)