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SageMath
E = EllipticCurve("j1")
E.isogeny_class()
Elliptic curves in class 412224j
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
412224.j1 | 412224j1 | \([0, -1, 0, -3681, -160461]\) | \(-86210302283776/126575253531\) | \(-8100816225984\) | \([]\) | \(604800\) | \(1.1688\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 412224j1 has rank \(1\).
Complex multiplication
The elliptic curves in class 412224j do not have complex multiplication.Modular form 412224.2.a.j
sage: E.q_eigenform(10)