Show commands:
SageMath
E = EllipticCurve("t1")
E.isogeny_class()
Elliptic curves in class 372810.t
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
372810.t1 | 372810t1 | \([1, 1, 0, -1952, -230334]\) | \(-167557540697/4535156250\) | \(-22281222656250\) | \([]\) | \(1002240\) | \(1.2418\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 372810.t1 has rank \(1\).
Complex multiplication
The elliptic curves in class 372810.t do not have complex multiplication.Modular form 372810.2.a.t
sage: E.q_eigenform(10)