Show commands:
SageMath
E = EllipticCurve("ew1")
E.isogeny_class()
Elliptic curves in class 145200ew
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 145200.s1 | 145200ew1 | \([0, -1, 0, 4509039792, 34141454718912]\) | \(1182427286584775/743008370688\) | \(-6370817716572515205120000000000\) | \([]\) | \(321995520\) | \(4.5998\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 145200ew1 has rank \(1\).
Complex multiplication
The elliptic curves in class 145200ew do not have complex multiplication.Modular form 145200.2.a.ew
sage: E.q_eigenform(10)