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SageMath
E = EllipticCurve("fm1")
E.isogeny_class()
Elliptic curves in class 372645fm
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
372645.fm1 | 372645fm1 | \([0, 0, 1, -4943757, -6646684613]\) | \(-32278933504/27421875\) | \(-11352016901796799921875\) | \([]\) | \(42674688\) | \(2.9296\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 372645fm1 has rank \(0\).
Complex multiplication
The elliptic curves in class 372645fm do not have complex multiplication.Modular form 372645.2.a.fm
sage: E.q_eigenform(10)