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SageMath
E = EllipticCurve("ew1")
E.isogeny_class()
Elliptic curves in class 185130ew
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
185130.ca1 | 185130ew1 | \([1, -1, 0, -2019, -165995]\) | \(-19034163/239360\) | \(-11449102705920\) | \([]\) | \(430080\) | \(1.1875\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 185130ew1 has rank \(0\).
Complex multiplication
The elliptic curves in class 185130ew do not have complex multiplication.Modular form 185130.2.a.ew
sage: E.q_eigenform(10)