Show commands:
SageMath
E = EllipticCurve("e1")
E.isogeny_class()
Elliptic curves in class 25230.e
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
25230.e1 | 25230c1 | \([1, 1, 0, -179817, 21950469]\) | \(764581408291686481/193273528320000\) | \(162543037317120000\) | \([]\) | \(336000\) | \(2.0123\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 25230.e1 has rank \(0\).
Complex multiplication
The elliptic curves in class 25230.e do not have complex multiplication.Modular form 25230.2.a.e
sage: E.q_eigenform(10)