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SageMath
E = EllipticCurve("m1")
E.isogeny_class()
Elliptic curves in class 132600m
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
132600.l1 | 132600m1 | \([0, -1, 0, -78208, -8391188]\) | \(41330707081250/6283251\) | \(8042561280000\) | \([]\) | \(424704\) | \(1.4888\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 132600m1 has rank \(0\).
Complex multiplication
The elliptic curves in class 132600m do not have complex multiplication.Modular form 132600.2.a.m
sage: E.q_eigenform(10)