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SageMath
E = EllipticCurve("m1")
E.isogeny_class()
Elliptic curves in class 32448m
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
32448.c1 | 32448m1 | \([0, -1, 0, 1465, -53379]\) | \(6656/27\) | \(-1409582685888\) | \([]\) | \(74880\) | \(1.0138\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 32448m1 has rank \(1\).
Complex multiplication
The elliptic curves in class 32448m do not have complex multiplication.Modular form 32448.2.a.m
sage: E.q_eigenform(10)