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SageMath
E = EllipticCurve("m1")
E.isogeny_class()
Elliptic curves in class 44400.m
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
44400.m1 | 44400br1 | \([0, -1, 0, -315333, -68778963]\) | \(-2167271772160/26946027\) | \(-43113643200000000\) | \([]\) | \(432000\) | \(2.0024\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 44400.m1 has rank \(1\).
Complex multiplication
The elliptic curves in class 44400.m do not have complex multiplication.Modular form 44400.2.a.m
sage: E.q_eigenform(10)