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SageMath
E = EllipticCurve("p1")
E.isogeny_class()
Elliptic curves in class 6048.p
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
6048.p1 | 6048t1 | \([0, 0, 0, -42552, 3374352]\) | \(11743292928/16807\) | \(12195060240384\) | \([]\) | \(11520\) | \(1.4137\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 6048.p1 has rank \(1\).
Complex multiplication
The elliptic curves in class 6048.p do not have complex multiplication.Modular form 6048.2.a.p
sage: E.q_eigenform(10)