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SageMath
E = EllipticCurve("t1")
E.isogeny_class()
Elliptic curves in class 18515.t
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
18515.t1 | 18515r1 | \([0, 0, 1, 23, 17]\) | \(2543616/1715\) | \(-907235\) | \([]\) | \(3888\) | \(-0.16812\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 18515.t1 has rank \(0\).
Complex multiplication
The elliptic curves in class 18515.t do not have complex multiplication.Modular form 18515.2.a.t
sage: E.q_eigenform(10)