Show commands:
SageMath
E = EllipticCurve("m1")
E.isogeny_class()
Elliptic curves in class 75810m
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
75810.m1 | 75810m1 | \([1, 1, 0, -70917583, -441160912877]\) | \(-109264302241400105173004689/169637740417250683593750\) | \(-61239224290627496777343750\) | \([]\) | \(33073920\) | \(3.6395\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 75810m1 has rank \(1\).
Complex multiplication
The elliptic curves in class 75810m do not have complex multiplication.Modular form 75810.2.a.m
sage: E.q_eigenform(10)