Show commands:
SageMath
E = EllipticCurve("i1")
E.isogeny_class()
Elliptic curves in class 101430.i
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
101430.i1 | 101430s1 | \([1, -1, 0, -19957905, -26605476675]\) | \(209197615052550481/48272572500000\) | \(202867413406797352500000\) | \([]\) | \(14112000\) | \(3.1845\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 101430.i1 has rank \(1\).
Complex multiplication
The elliptic curves in class 101430.i do not have complex multiplication.Modular form 101430.2.a.i
sage: E.q_eigenform(10)