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SageMath
E = EllipticCurve("a1")
E.isogeny_class()
Elliptic curves in class 322624a
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
322624.a1 | 322624a1 | \([0, 0, 0, -847271116, -9453425934224]\) | \(2003092024307193/9529458688\) | \(320006091845465579362189312\) | \([]\) | \(313528320\) | \(3.9351\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 322624a1 has rank \(2\).
Complex multiplication
The elliptic curves in class 322624a do not have complex multiplication.Modular form 322624.2.a.a
sage: E.q_eigenform(10)