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SageMath
E = EllipticCurve("e1")
E.isogeny_class()
Elliptic curves in class 185900.e
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
185900.e1 | 185900a1 | \([0, 1, 0, 91542, 23170213]\) | \(3328/11\) | \(-280407435343750000\) | \([]\) | \(2321280\) | \(2.0310\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 185900.e1 has rank \(0\).
Complex multiplication
The elliptic curves in class 185900.e do not have complex multiplication.Modular form 185900.2.a.e
sage: E.q_eigenform(10)