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SageMath
E = EllipticCurve("q1")
E.isogeny_class()
Elliptic curves in class 412224.q
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
412224.q1 | 412224q1 | \([0, -1, 0, -7713, 271809]\) | \(-193602111625/7420032\) | \(-1945116868608\) | \([]\) | \(1225728\) | \(1.1277\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 412224.q1 has rank \(0\).
Complex multiplication
The elliptic curves in class 412224.q do not have complex multiplication.Modular form 412224.2.a.q
sage: E.q_eigenform(10)