Show commands:
SageMath
E = EllipticCurve("s1")
E.isogeny_class()
Elliptic curves in class 250173.s
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
250173.s1 | 250173s1 | \([0, 0, 1, -3078, 56045]\) | \(23887872/3773\) | \(509376494781\) | \([]\) | \(207360\) | \(0.96913\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 250173.s1 has rank \(2\).
Complex multiplication
The elliptic curves in class 250173.s do not have complex multiplication.Modular form 250173.2.a.s
sage: E.q_eigenform(10)