Show commands:
SageMath
E = EllipticCurve("m1")
E.isogeny_class()
Elliptic curves in class 121275.m
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
121275.m1 | 121275dn1 | \([0, 0, 1, -3399375, -2087208594]\) | \(5186867200/754677\) | \(632087098612470703125\) | \([]\) | \(7741440\) | \(2.7164\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 121275.m1 has rank \(1\).
Complex multiplication
The elliptic curves in class 121275.m do not have complex multiplication.Modular form 121275.2.a.m
sage: E.q_eigenform(10)