Show commands:
SageMath
E = EllipticCurve("h1")
E.isogeny_class()
Elliptic curves in class 377520.h
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
377520.h1 | 377520h1 | \([0, -1, 0, -33294521, 73956479445]\) | \(-74380756680592384/748446075\) | \(-41071632160215571200\) | \([]\) | \(29736960\) | \(2.9225\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 377520.h1 has rank \(1\).
Complex multiplication
The elliptic curves in class 377520.h do not have complex multiplication.Modular form 377520.2.a.h
sage: E.q_eigenform(10)