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SageMath
E = EllipticCurve("hn1")
E.isogeny_class()
Elliptic curves in class 377520.hn
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
377520.hn1 | 377520hn1 | \([0, 1, 0, -40, -7372]\) | \(-121/390\) | \(-23388119040\) | \([]\) | \(322560\) | \(0.66857\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 377520.hn1 has rank \(1\).
Complex multiplication
The elliptic curves in class 377520.hn do not have complex multiplication.Modular form 377520.2.a.hn
sage: E.q_eigenform(10)