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SageMath
E = EllipticCurve("w1")
E.isogeny_class()
Elliptic curves in class 19074w
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
19074.o1 | 19074w1 | \([1, 1, 1, 11, -133]\) | \(506447/28512\) | \(-8239968\) | \([]\) | \(4320\) | \(0.0067074\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 19074w1 has rank \(1\).
Complex multiplication
The elliptic curves in class 19074w do not have complex multiplication.Modular form 19074.2.a.w
sage: E.q_eigenform(10)