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SageMath
E = EllipticCurve("l1")
E.isogeny_class()
Elliptic curves in class 145200.l
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 145200.l1 | 145200jp1 | \([0, -1, 0, -9705208, -11685841088]\) | \(-47162500/243\) | \(-520892080830000000000\) | \([]\) | \(10771200\) | \(2.8213\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 145200.l1 has rank \(0\).
Complex multiplication
The elliptic curves in class 145200.l do not have complex multiplication.Modular form 145200.2.a.l
sage: E.q_eigenform(10)