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SageMath
E = EllipticCurve("y1")
E.isogeny_class()
Elliptic curves in class 141512y
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
141512.c1 | 141512y1 | \([0, 1, 0, -3369, -178949]\) | \(-7168/19\) | \(-11212727094016\) | \([]\) | \(207360\) | \(1.1915\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 141512y1 has rank \(1\).
Complex multiplication
The elliptic curves in class 141512y do not have complex multiplication.Modular form 141512.2.a.y
sage: E.q_eigenform(10)