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SageMath
E = EllipticCurve("m1")
E.isogeny_class()
Elliptic curves in class 3600.m
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
3600.m1 | 3600t1 | \([0, 0, 0, 1125, -33750]\) | \(270\) | \(-583200000000\) | \([]\) | \(3360\) | \(0.94051\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 3600.m1 has rank \(1\).
Complex multiplication
The elliptic curves in class 3600.m do not have complex multiplication.Modular form 3600.2.a.m
sage: E.q_eigenform(10)