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SageMath
E = EllipticCurve("m1")
E.isogeny_class()
Elliptic curves in class 2448m
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
2448.e1 | 2448m1 | \([0, 0, 0, -48, -196]\) | \(-65536/51\) | \(-9517824\) | \([]\) | \(384\) | \(0.037764\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 2448m1 has rank \(1\).
Complex multiplication
The elliptic curves in class 2448m do not have complex multiplication.Modular form 2448.2.a.m
sage: E.q_eigenform(10)