Show commands:
SageMath
E = EllipticCurve("e1")
E.isogeny_class()
Elliptic curves in class 7350.e
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
7350.e1 | 7350l1 | \([1, 1, 0, -352825, -19062875]\) | \(2157045625/1179648\) | \(2656420300800000000\) | \([]\) | \(171360\) | \(2.2260\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 7350.e1 has rank \(0\).
Complex multiplication
The elliptic curves in class 7350.e do not have complex multiplication.Modular form 7350.2.a.e
sage: E.q_eigenform(10)