Show commands:
SageMath
E = EllipticCurve("m1")
E.isogeny_class()
Elliptic curves in class 10115.m
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
10115.m1 | 10115b1 | \([0, 1, 1, -96, 5745]\) | \(-4096/595\) | \(-14361853555\) | \([]\) | \(8064\) | \(0.62838\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 10115.m1 has rank \(1\).
Complex multiplication
The elliptic curves in class 10115.m do not have complex multiplication.Modular form 10115.2.a.m
sage: E.q_eigenform(10)