Show commands:
SageMath
E = EllipticCurve("m1")
E.isogeny_class()
Elliptic curves in class 15210m
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 15210.b1 | 15210m1 | \([1, -1, 0, -146340, -21729200]\) | \(-2813198004118489/33177600000\) | \(-4087513497600000\) | \([]\) | \(130560\) | \(1.8081\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 15210m1 has rank \(0\).
Complex multiplication
The elliptic curves in class 15210m do not have complex multiplication.Modular form 15210.2.a.m
sage: E.q_eigenform(10)