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SageMath
E = EllipticCurve("m1")
E.isogeny_class()
Elliptic curves in class 100200.m
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
100200.m1 | 100200w1 | \([0, -1, 0, -7408, -243188]\) | \(-1405190738/1503\) | \(-48096000000\) | \([]\) | \(80640\) | \(0.96603\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 100200.m1 has rank \(0\).
Complex multiplication
The elliptic curves in class 100200.m do not have complex multiplication.Modular form 100200.2.a.m
sage: E.q_eigenform(10)