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SageMath
E = EllipticCurve("d1")
E.isogeny_class()
Elliptic curves in class 193600d
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
193600.m1 | 193600d1 | \([0, 0, 0, 60500, -13310000]\) | \(270\) | \(-90703923200000000\) | \([]\) | \(2745600\) | \(1.9367\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 193600d1 has rank \(0\).
Complex multiplication
The elliptic curves in class 193600d do not have complex multiplication.Modular form 193600.2.a.d
sage: E.q_eigenform(10)