Show commands:
SageMath
E = EllipticCurve("m1")
E.isogeny_class()
Elliptic curves in class 35490m
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
35490.e1 | 35490m1 | \([1, 1, 0, -1100193, 443730357]\) | \(-180544450042489/7620480\) | \(-6216259644766080\) | \([]\) | \(611520\) | \(2.1106\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 35490m1 has rank \(0\).
Complex multiplication
The elliptic curves in class 35490m do not have complex multiplication.Modular form 35490.2.a.m
sage: E.q_eigenform(10)