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SageMath
E = EllipticCurve("d1")
E.isogeny_class()
Elliptic curves in class 57150.d
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
57150.d1 | 57150o1 | \([1, -1, 0, -2142, 30766]\) | \(95443993/20574\) | \(234350718750\) | \([]\) | \(82944\) | \(0.89574\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 57150.d1 has rank \(0\).
Complex multiplication
The elliptic curves in class 57150.d do not have complex multiplication.Modular form 57150.2.a.d
sage: E.q_eigenform(10)