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SageMath
E = EllipticCurve("p1")
E.isogeny_class()
Elliptic curves in class 6468.p
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
6468.p1 | 6468l1 | \([0, 1, 0, 670, 2421]\) | \(17643776/11319\) | \(-21306704496\) | \([]\) | \(3456\) | \(0.67080\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 6468.p1 has rank \(0\).
Complex multiplication
The elliptic curves in class 6468.p do not have complex multiplication.Modular form 6468.2.a.p
sage: E.q_eigenform(10)