Show commands:
SageMath
E = EllipticCurve("a1")
E.isogeny_class()
Elliptic curves in class 215475a
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
215475.g1 | 215475a1 | \([0, 1, 1, -2105458, 2781846994]\) | \(-49836032/132651\) | \(-2747455949859029296875\) | \([]\) | \(17297280\) | \(2.8012\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 215475a1 has rank \(2\).
Complex multiplication
The elliptic curves in class 215475a do not have complex multiplication.Modular form 215475.2.a.a
sage: E.q_eigenform(10)